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Commit 2021-05-17 00:02 84a27d60

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feat(set_theory/game): add mul_one and mul_assoc for pgames (#7610) and several simp lemmas. I also simplified some of the existing proofs using rw and simp and made them easier to read. This is the final PR for multiplication of pgames (hopefully)! Next step: prove numeric_mul and define multiplication for surreal.

Estimated changes

deleted theorem game.quot_add
deleted theorem game.quot_neg
deleted theorem game.quot_sub
modified theorem pgame.left_distrib_equiv
added theorem pgame.mul_assoc_equiv
added theorem pgame.mul_one_equiv
added theorem pgame.one_mul_equiv
added theorem pgame.quot_add
added theorem pgame.quot_mul_assoc
added theorem pgame.quot_mul_comm
added theorem pgame.quot_mul_neg
added theorem pgame.quot_mul_one
added theorem pgame.quot_mul_zero
added theorem pgame.quot_neg
added theorem pgame.quot_neg_mul
added theorem pgame.quot_one_mul
added theorem pgame.quot_sub
added theorem pgame.quot_zero_mul