feat(group_theory/free_monoid_product): define free monoid/group product #2578
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kckennylau
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| import algebra.free_monoid group_theory.congruence tactic.simp_rw algebra.opposites | |||
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Some lemmas I found useful for #2578
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Some lemmas I found useful for leanprover-community#2578
anrddh
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May 16, 2020
Some lemmas I found useful for leanprover-community#2578
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By the way, I've been working on coproducts of monoids myself. I've done it differently from this, I don't use quotients and instead reduce the words when I multiply. This is obviously better for computation, but it also has some other advantages; there are some proofs about free groups that induct on the length of a word, but length does not make sense without reducing words. |
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is the free monoid product of |
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You also need to eliminate ones. |
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cipher1024
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Some lemmas I found useful for leanprover-community#2578
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This is now all in mathlib, in |
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Define
free_monoid_productas the quotient offree_monoidby an appropriatecon. This is a work in progress, and some proofs are not ready yet.