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Mathlib.Algebra.Order.BigOperators.GroupWithZero.Finset

Big operators on a finset in groups with zero involving order #

This file contains the results concerning the interaction of finset big operators with groups with zero, where order is involved.

theorem Finset.one_le_prod {α : Type u_1} {M : Type u_2} (s : Finset α) [CommMonoidWithZero M] [Preorder M] [ZeroLEOneClass M] [PosMulMono M] {f : αM} (hf : ∀ (i : α), 1 f i) :
1 is, f i

A version of Finset.one_le_prod'' for PosMulMono in place of MulLeftMono.