Theorems · Theorem · commutative algebra

Module.End.smulLeft.congr_simp

∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (α α_1 : R)
  (e_α : α = α_1) (hα : α ∈ Set.center R), Module.End.smulLeft α hα = Module.End.smulLeft α_1 ⋯

Defined in: Mathlib.LinearAlgebra.FreeModule.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 18 from the axioms · uses propext
Assumes: Semiring AddCommMonoid Module

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Setstatement · cited by 53,352
Modulestatement and proof · cited by 20,661
Semiringstatement and proof · cited by 13,802
AddCommMonoidstatement and proof · cited by 12,281
Module.Endstatement · cited by 774
Set.centerstatement and proof · cited by 49
Module.End.smulLeftstatement and proof · cited by 8

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