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Theorems · Definition · group theory

FunLike.coeMulHom

(F : Type u_1) →
  (α : Type u_2) →
    (β : Type u_3) → [inst : FunLike F α β] → [inst_1 : Mul F] → [inst_2 : Mul β] → [IsMulApply F α β] → F →ₙ* α → β

Coercion as a multiplicative homomorphism.

Defined in
Mathlib.Data.FunLike.Group
Cited by
4 results in Mathlib
Foundations
Depth 7 from the axioms · uses propext, Quot.sound
Assumes
FunLikeMulMulIsMulApply
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FunLike.coe_coeMulHom · cited by 1FunLike.coe_coeMulHomFunLike.coe_coeMonoidHom' · cited by 0FunLike.coe_coeMonoidHom'FunLike.coeMulHom_apply · cited by 0FunLike.coeMulHom_applyFunLike.coeMulHom_injective · cited by 0FunLike.coeMulHom_injecti…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeMulHom · cited by 299MulHomIsMulApply · cited by 18IsMulApplyFunLike.coe_mul · cited by 4FunLike.coe_mulFunLike.coeMulHomCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.