mathlib
1fd70b1b - refactor(algebra/big_operators/basic): Reorder lemmas (#11113)

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4 years ago
refactor(algebra/big_operators/basic): Reorder lemmas (#11113) This PR does the following things: - Move `prod_bij` and `prod_bij'` earlier in the file, so that they can be put to use. - Move `prod_product` and `prod_product'` past `prod_sigma` and `prod_sigma'` down to `prod_product_right` and `prod_product_right'`. - Use `prod_bij` and `prod_sigma` to give an easier proof of `prod_product`. - The new proof introduces `prod_finset_product` and the remaining three analogs of the four `prod_product` lemmas. `prod_finset_product` is a lemma that I found helpful in my own work.
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