she is considered a protege of the previous president although she insists he will wield no influence over her government. she says she will prioritise welfare programmes, improve the lives of women and tackle security. if the elections were marred by violence and threats, and a candidate was reportedly murdered after the polls closed this weekend, among dozens of candidates killed over the campaign. it's a new day in mexican politics. after two centuries of men in power, when voters eventually chose their first female president, it was with a landslide. the victory itself was a moment to savour for claudia sheinbaum, and she was quick to acknowledge the many women who blazed a trail before her. "i didn't get here on my own. we got here together," she said. "thanks to our ancestors, our mothers, our daughters and granddaughters." in a nation of such entrenched machismo, what claudia sheinbaum has achieved here is no small feat. other women have tried and failed, but her offer of continuity with the governing party's social policies, which have pulled millions from poverty, have proved hugely popular with the electorate. this election has been historic for all the wrong reasons, too. it's been mexico's most violent campaign in living memory, with dozens of candidates murdered as they sought votes. in the city of zelaya, a mayoral candidate with ms sheinbaum's own party was gunned down in the street. her murder a sign of the task ahead for the president—elect, one which her critics say she isn't up to. rather, they say, she'll be a puppet of her authoritarian mentor, president andres manuel lopez 0brador. speaking to the bbc during the campaign, she denied that accusation. of course, i am of the same movement with lopez 0brador. we fought togetherfor 20 years, or more than 20 years, to have the government that we have now and the opportunity for mexican people and the right for mexican people, the rights. and of course, i'm going to leave a different time in history. viva mexico! mexico may have turned a corner with claudia sheinbaum's win, but it is still a nation where women are treated as inferior, where” women and girls are murdered every single day. to curtail that violence, she must now succeed where so many men before her have failed. will grant, bbc news, mexico city. joining me now is maria fernanda bozmoski, deputy director of the adrienne arsht latin america center at the atlantic council. thanks indeed forjoining us. for the first time, there is a female president notjust in mexico but in the whole of north america. put into context how significant this is.— how significant this is. thanks so much for — how significant this is. thanks so much for having _ how significant this is. thanks so much for having me - how significant this is. thanks so much for having me on - how significant this is. thanks so much for having me on the i so much for having me on the programme. it's huge, a historic milestone, historic election. it is truly consequential. as we just heard, 70 years after mexico's women were allowed to vote, we now have a women in the presidential palace in mexico. it's so important. she is coming into her government on october the 1st with a lot of power. the congress also, the lower chamber of congress, has a super majority for her coalition, and she has a majority in the senate. we haven't seen a president with this much power in a long time in mexico. it is hugely consequential. ijust regret that we keep talking about the men in her orbit, whether it be lopez 0brador or donald trump orjoe biden. we really have to celebrate what this means for mexico, for the region and for the world. mexico, for the region and for the world-— the world. what is it going to mean for _ the world. what is it going to mean for mexican _ the world. what is it going to mean for mexican women, i the world. what is it going to | mean for mexican women, do the world. what is it going to - mean for mexican women, do you think? will it be a dramatic shift in their lives, given the machismo in society we have been hearing about? we: machismo in society we have been hearing about? it's truly ins-airin been hearing about? it's truly inspiring that _ been hearing about? it's truly inspiring that claudia - inspiring that claudia sheinbaum has reached the presidency. i think she has a strong personality, a strong presence. she is going to be her own president. we keep hearing conversations and speculations about how much power andreas manuel is going to wield over her presidency. while it's true they worked together for a long time, while it's true they worked togetherfor a long time, what she's done is huge and commendable. it's a great feat for mexico, women in the region. a big part of her planned that we saw in the campaign is making mexico safer for women and girls in mexico. 0n for women and girls in mexico. on that notion of making mexico safer notjust on that notion of making mexico safer not just for on that notion of making mexico safer notjust for women and safer not just for women and girls safer notjust for women and girls but for all people, we've seen incredible violence across this election campaign. a candidate killed just as the results were coming in, in fact. what is the scale of the task ahead of her on that front? fix, task ahead of her on that front? �* , ., r' task ahead of her on that front? �* , ., ,~' ., front? a big task on the security _ front? a big task on the security front. - front? a big task on the security front. north - front? a big task on the security front. north of| front? a big task on the - security front. north of 9596 in security front. north of 95% in mexico, some estimates 98%, the impunity rate. you can kill in mexico and there is no consequence for that. that has to change, and it is extremely important not only for mexico but for the united states. mexico is the united states' largest trading partner. security, economic and trade are so closely linked together that a worsening security situation in mexico is bad news for the us as well. fin situation in mexico is bad news for the us as well.— for the us as well. on that relationship _ for the us as well. on that relationship between - for the us as well. on that relationship between the l for the us as well. on that l relationship between the us for the us as well. on that - relationship between the us and mexico, such a key one as you say, we are hearing that president biden is set to sign an executive order, possibly as soon as tomorrow, that would essentially close the border to asylum seekers once the average daily number of encountered hits 2500, which it is above at the moment. how will the president handle that? what will she do? we: president handle that? what will she do?— will she do? it's no coincidence - will she do? it's no coincidence that i will she do? it's no - coincidence that president biden waited until the historic election on sunday to announce this. as the campaign in the united states heats up and ramps up, and immigration of course, immigration and trade will be the hot issues, relations with mexico i think will be top of the agenda... so it'sjust a purely will be top of the agenda... so it's just a purely domestic move on behalf of president biden to roll out that executive action tomorrow. what will it mean _ executive action tomorrow. what will it mean for— executive action tomorrow. what will it mean for mexico, - will it mean for mexico, though? we have heard much bait about what it may or may not mean in the us, but what will it mean for mexico? we mean in the us, but what will it mean for mexico?— mean in the us, but what will it mean for mexico? we will see now what andres _ it mean for mexico? we will see now what andres manuel - it mean for mexico? we will see now what andres manuel lopez | now what andres manuel lopez 0brador will do in the next few months of his presidency. we have seen him in the past bow down to the united states, and in a way do the dirty work of the united states on the immigration front. claudia sheinbaum, the president elect, has talked about a relationship of coordination, not of subordination with the united states. so we will see in which ways migration, the migration relationship changes with claudia sheinbaum later in the year. but it is one of the big irritants of the us mexico relationship.— relationship. thanks for “oininu relationship. thanks for joining us _ relationship. thanks for joining us with - relationship. thanks for joining us with those i relationship. thanks for - joining us with those thoughts. the united states said on monday it's asking the united nations security council to adopt a resolution backing the proposal to end the fighting in gaza. it comes as g7 leaders released a statement saying they "fully endorse and will stand behind" the comprehensive plan and called on hamas to accept it. the three—part proposal would begin with a six—week cessation of hostilities in gaza. there would also be a surge in aid, and an exchange of some hostages held by hamas for palestinian prisoners. although the plan has been met with opposition from hardline members of the israeli government, the us state department outlined how important the proposal is for the country's safety. endless conflict in gaza, in pursuit of some idea of total victory is not going to make israel safer. we agree with israel safer. we agree with israel that hamas cannot run gaza. we agree on their right and obligation to pursue hamas for the terrorist attacks of october the 7th. but a conflict without a political plan forward isjust without a political plan forward is just going to leave israel bogged down in gaza and it's going to exacerbate the security challenges they face. the negotiations come as the israeli military says four men taken hostage by hamas on october 7th have died in captivity, and that their bodies are held by hamas. the idf identified the men as haim perry, yoram metzger, amiram cooper and nadav popplewell. the army believes they were held together by hamas in the khan younis area, and died several months ago. meanwhile, israel's military offensive in gaza continues. an israeli airstrike hit a building in gaza's central bureij refugee camp on monday, triggering a massive cloud of smoke. 0ur middle east correspondent lucy williamson has the latest from israel. the price of gaza's war is rising as its cities crumble. the price of peace too high for leaders on both sides. israel said it had bombed more than 50 targets since yesterday. but hamas is still fighting here, and hopes for the new ceasefire deal were mixed. translation: hamas should | raise its demands and seriously adhere to the conditions they set, which are the people's demands. translation: hamas, accept the deal. - it's enough. enough of what we lost. we urge hamas to stop the war. israel's prime minister is negotiating on two fronts. his far right allies say he must continue the war until hamas is destroyed, or they'll bring down the government. he's insisted his conditions for a ceasefire haven't changed. translation: we have gone a long way to return - the hostages while keeping the war�*s objectives in mind, primarily the elimination of hamas. we insist that we will achieve both. it's all part of the plan, not something i've just added. but hamas has said it won't free more hostages without a guarantee the war will end. tonight, israel learned that four more captives were confirmed to have died — chaim peri, yoram metzger, amiram cooper and british israeli nadav popplewell. after almost eight months of war, much of northern gaza lies in ruins, but israel's prime minister is struggling to end the war because he hasn't achieved his war goals. he hasn't brought back all the hostages, he hasn't destroyed hamas. the us president says hamas is no longer capable of carrying out the kind of attack it did on the 7th of october, but israelis living here by the gaza border say they still don't feel safe. this is the last time yarin saw her neighbourhood. trapped in her home in sderot by the gaza border, as hamas gunmen ran through the streets. she and her three children fled tojerusalem the next day. a ceasefire now, she says, won't be enough to send them home. we will free the hostages, but a few years from now your life will be... you will be the next hostages, you will be the next people that get murdered, the women that get raped, all of this will happen again. the ceasefire will kill us. ending this conflict rests with the leaders of israel and hamas, locked in a war for their own survival. lucy williamson, bbc news, sderot. joining me now is michael 0ren, former israeli ambassador to the us. tax forjoining us on bbc news. the tragic news on the hostages today, four dead a few months ago. hamas says it won't release more hostages until israel confirms the war will end. can prime minister netanyahu give that guarantee on his part? it’s netanyahu give that guarantee on his part?— on his part? it's good to be with yon — on his part? it's good to be with you. let's _ on his part? it's good to be with you. let's keep - on his part? it's good to be with you. let's keep in - on his part? it's good to be l with you. let's keep in mind, israel is not the united states, the prime minister of israel is not the president of the united states, he cannot make this decision on his own. he has to answer to a cabinet, and that cabinet has to answer to the people of israel. while the people of israel desperately want the war to end and want the hostages released, as you just heard from the residents living around the gaza border, there is no faith that hamas will not come out of those tunnels, even if they are much reduced now, but they will be on and mount the next attack, which is precisely what their leaders said, they will do it 10,000 times until israel is destroyed. so the government will have a hard time signing an agreement that says the war is over and hamas can come out of the tunnels, even much degraded. a very difficult case to make to the people of israel. , israel. does the prime minister, _ israel. does the prime minister, the - israel. does the prime minister, the war - israel. does the prime i minister, the war cabinet as you say there, in one way has to prioritise the release of at least some of the hostages at this point? stage one of the plan, to make that leap? i’m plan, to make that leap? i'm not a spokesman _ plan, to make that leap? in not a spokesman for the government, i'm not in politics right now but i think i speak for the majority of people in israel might say, yes, we are willing to do a long ceasefire, and even consider extending that ceasefire further if all the hostages can get out, but israel can't sign on a piece of paper that says hamas basically wins the war, because in order to win, hamas only has not to lose. by not losing, it can emerge from the tunnels, even if you put in an interim government with some kind of international involvement, hamas would slowly be able to assassinate anybody who assumes responsibility, they have done it repeatedly, whether it would take two years, five years, but for the tens of thousands of israelis who have been displaced in the south, that won't do. for the 80,000 israelis who have been displaced in the north under repeated rocket fire, even today, very heavy rocket fire from the north, from hezbollah, unless it restores its regional deterrence, notjust local, state of israel is becoming in large areas uninhabitable. so when president biden, when the us administration say that hamas is now in such a position that it does not have the capability to carry out an attack anywhere near the tragedy is that we saw on october the 7th, in that guarantee from him not enough, somewhat you saying there? how. somewhat you saying there? now, hamas is not _ somewhat you saying there? now, hamas is not capable _ somewhat you saying there? now, hamas is not capable of _ somewhat you saying there? firm-n", hamas is not capable of doing that, that is true. and i believe there should be... a contradiction to my own government in israel, i believe there should be a morning after programme, the government has not done that so far. but even that morning after scenario has to take into account that hamas could be resurgent and again take armed action against any palestinian who tries to co—operate in a peaceful resolution of the gaza conflict, the palestinian conflict, the palestinian conflict in general. we have to take that into account. so this is going to be a prolonged effort to keep degrading hamas, by military means. i don't think any other country can undertake that other than the state of israel, and ideally we can do it in conjunction with a morning after scenario where international forces would supervise the rebuilding and reconstruction of gaza, the repatriation of the palestinian refugees in gaza. all of that could be done, but the struggle against hamas has to continue, otherwise they come back and re—organises and launches the next attack. re-organises and launches the next attack-— re-organises and launches the next attack. given the pressure that we are _ next attack. given the pressure that we are seeing _ next attack. given the pressure that we are seeing on - next attack. given the pressure that we are seeing on the i next attack. given the pressure | that we are seeing on the prime minister up from the hostage families in particular to get their loved ones home, and we are seeing different views from within the war cabinet as well, how fragile do you think the government is in israel at the moment?— moment? we have a national unity government _ moment? we have a national unity government that - moment? we have a national unity government that has i unity government that has elements of the former opposition, benny gantz, opposition, benny gantz, opposition leaders in the war cabinet, and the government still have a 64 member majority in the 120 member knesset. it would survive but many would take to the streets and protest, and the governance of israel could be increasingly untenable, increasing pressure on the government. so it's far from an ideal situation. you could speculate that the radical right wing elements of the government could leave the government and more moderate elements could join the government, but there is no guarantee that would happen. i don't know if prime minister netanyahu would take that risk. i hope he would, frankly, but i'm not in his government. the government can survive, that's the bottom line, even if these elements leave the government. just very briefly, we are almost out of time, the prime minister has been invited to address the joint houses of congress in the us. do you think he should come? i think he has to be very careful about the timing, not to be seen as intervening in any way in the election in washington. the situation is _ election in washington. the situation is very _ election in washington. tue: situation is very fraught and deeply polarised. israel should not wade into that. the prime minister of israel coming to the us and presenting a picture of the way the world looks and the region looks from an israeli perspective, that has value. it has to be done with tremendous sensitivity and caution. . ., caution. thanks indeed for “oininu caution. thanks indeed for joining us- _ around the world and across the uk. this is bbc news. let's look at another story making the headlines. one of the most prominent political campaigners for brexit, nigel farage, has announced he is standing in the forthcoming uk general election. he said that he would also be taking over as leader of the right—wing reform uk party. ten days ago, mr farage said he wouldn't be standing, because he wanted to focus on the us presidential race. but speaking at an event