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Theorems · Theorem · group theory

MulActionHom.congr_fun

∀ {M : Type u_2} {N : Type u_3} {φ : M → N} {X : Type u_5} [inst : SMul M X] {Y : Type u_6} [inst_1 : SMul N Y]
  {f g : X →ₑ[φ] Y}, f = g → ∀ (x : X), f x = g x
Defined in
Mathlib.GroupTheory.GroupAction.Hom
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
SMulSMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DistribMulActionHom.toAddActionHom_injective · cited by 0DistribMulActionHom.toAdd…MulDistribMulActionHom.toMulActionHom_injective · cited by 0MulDistribMulActionHom.to…DFunLike.coe · cited by 62936DFunLike.coeDFunLike.congr_fun · cited by 288DFunLike.congr_funMulActionHom · cited by 124MulActionHomMulActionHom.congr_funCITED BYCITES

Cites3

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Cited by2

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