Mathlib Map

Theorems · Theorem · group theory

MulHom.map_mul

∀ {M : Type u_4} {N : Type u_5} [inst : Mul M] [inst_1 : Mul N] (f : M →ₙ* N) (a b : M), f (a * b) = f a * f b
Defined in
Mathlib.Algebra.Group.Hom.Defs
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
MulMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Pi.single_mul · cited by 3Pi.single_mulMulHom.toMulEquiv · cited by 2MulHom.toMulEquivDFunLike.coe · cited by 62936DFunLike.coeMulHom · cited by 299MulHomMulHom.map_mul' · cited by 3MulHom.map_mul'MulHom.map_mulCITED BYCITES

Cites3

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.