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He said he would not launch a "first strike" nuclear attack and suggested the party's policy on the UK's Trident nuclear deterrent was not settled.
He told Andrew Marr he was "fed up" with inequality and under-investment.
He said he also said he would like to scrap grammar schools and would phase out private contracts in the NHS.
Asked whether Labour would commit to renewing the current nuclear weapons system - which has been its policy for decades but which he opposes - he said the party's manifesto had not yet been agreed.
While he supported Nato and wanted to boost the UK's armed forces, he said he would be seeking a better relationship with Russia and opposed any further air strikes in Syria and Iraq.
And on whether he would approve a potential drone strike to kill the leader of the so-called Islamic State group, he said it would "be helpful if he was not around" but he would first want to see the intelligence available and understand what a move would achieve in terms of ending the conflict in Syria.
In a wide-ranging interview, he said he wanted to use the power of the government to improve housing and education.
He also acknowledged that the free movement of European citizens into the UK would end after Brexit as it was an "instrinsic" feature of EU membership.
Asked about whether he would insist on ending free movement if he was PM, Mr Corbyn said he would "insist on trade access and see what follows from that".
But he also rejected claims that his stance on Brexit was indistinguishable from Theresa May's, saying he was seeking an "intelligent" relationship based on tariff-free access to the single market.
Asked whether he believed he could win the snap 8 June poll, he replied "watch this space".
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