How would a vote to invade Syria go in the new parliament?

• Britain will join the coalition of nations conducting airstrikes against Islamic State militants in Syria after MPs in the House of Commons voted to authorise the UK’s participation. MPs voted 397 to 223 in favour of sending RAF Tornados into the skies over Syria, after an all-day debate in parliament. As Patrick Wintour reports, 66 Labour MPs backed the government in defiance of the party leader,Jeremy Corbyn. In a day of soul searching, recrimination and often heartfelt speeches, it became clear David Cameron was guaranteed a clear overall majority. Corbyn, who was forced by divisions in his party to give his MPs a free vote,

TAP – The reduced Conservative MPs (330 to 318?) might swing 12 votes the other way plus 66 more Labour votes if whipping was used and was 100% successful.  The 397 ayes of 2015 would become 319 which is not a Commons majority.  Since then the Russians have significantly changed the situation on the ground, and MPs should be more cautious.  The planned vote to invade Syria from Jordan which was the reason Theresa May called the election to ensure war would come, is now, I would imagine, most unlikely.  Is it even possible Corbyn could engineer a cessation of British involvement in bombing SYria?