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Theorems · Definition · group theory

MulActionHom.ofEq

{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] → {φ' : M → N} → φ = φ' → (X →ₑ[φ] Y) → X →ₑ[φ'] Y

Two equal maps on scalars give rise to an equivariant map for identity

Defined in
Mathlib.GroupTheory.GroupAction.Hom
Cited by
2 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
SMulSMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MulActionHom.ofEq_apply · cited by 0MulActionHom.ofEq_applyMulActionHom.ofEq_coe · cited by 0MulActionHom.ofEq_coeMulActionHom · cited by 124MulActionHomMulActionHom.toFun · cited by 46MulActionHom.toFunMulActionHom.ofEqCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.