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Theorems · Theorem · group theory

comp_mul_left

∀ {α : Type u_1} [inst : Semigroup α] (x y : α), ((fun x_1 => x * x_1) ∘ fun x => y * x) = fun x_1 => x * y * x_1

Composing two multiplications on the left by y then x is equal to a multiplication on the left by x * y.

Defined in
Mathlib.Algebra.Group.Basic
Cited by
4 results in Mathlib
Foundations
Depth 6 from the axioms · uses propext, Quot.sound
Assumes
Semigroup

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