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OTL : 16 June 1940, Prime Minister Winston Churchill proposed the creation of a full Anglo-French Union. The French government under Philippe Petain did not respond and signed the armistice with Germany the following day.
What if the offer had been taken seriously by the French and accepted. This gives the new Union the assets of the French fleet and empire to carry on the fight. France is still occupied, and there is very likely a Vichy state trying to preserve what they can from the Germans.
But in North Africa there is a ready made force to flank the Italians, and the naval forces to help in the Mediterranean. An immediate consequnce is no attack on Mers-el-Kébir by the Royal Navy, giving better Anglo French relations.
What happens now, does this put off the Japanese assault in mainland SE Asia as the French fleet is available to reinforce the Royal Navy ? It's possible that the now much stronger Royal Navy and French fleet can be a strong counter in the Pacific.
Does the USA hold back on lend lease supplies, or is it keener to help out seeing the Union as a more viable proposition ?