Mathlib Map

Theorems · Definition · group theory

MulActionHom.toFun

{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] → (X →ₑ[φ] Y) → X → Y

The underlying function.

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

Around this declaration

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

Algebra.lmul · cited by 41Algebra.lmulNonUnitalAlgHom.toMulHom · cited by 9NonUnitalAlgHom.toMulHomFunction.Injective.mulActionHom_embedding · cited by 4Injective.mulActionHom_em…Pi.evalStarAlgHom · cited by 2Pi.evalStarAlgHomMulActionHom.map_smul' · cited by 2MulActionHom.map_smul'MulActionHom.ofEq · cited by 2MulActionHom.ofEqNonUnitalAlgHom.coe_injective · cited by 2NonUnitalAlgHom.coe_injec…DistribMulActionHom.casesOn · cited by 1DistribMulActionHom.cases…NonUnitalAlgHom.mk.inj · cited by 1mk.injNonUnitalAlgHom.mk.noConfusion · cited by 1mk.noConfusionNonUnitalStarAlgHom.mk.inj · cited by 1mk.injNonUnitalStarAlgHom.mk.noConfusion · cited by 1mk.noConfusionMulAction.IsMultiplyPreprimitive.of_bijective_map · cited by 1IsMultiplyPreprimitive.of…MulAction.IsPretransitive.of_embedding · cited by 1IsPretransitive.of_embedd…NonUnitalAlgHom.casesOn · cited by 1NonUnitalAlgHom.casesOnMulActionHom · cited by 124MulActionHomMulActionHom.toFunCITED BYCITES

Cites1

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Cited by81

Results whose statement or proof uses this declaration.