Mathlib Map

Theorems · Theorem · group theory

MonoidHom.fst_comp_prod

∀ {M : Type u_3} {N : Type u_4} {P : Type u_5} [inst : MulOneClass M] [inst_1 : MulOneClass N] [inst_2 : MulOneClass P]
  (f : M →* N) (g : M →* P), (MonoidHom.fst N P).comp (f.prod g) = f
Defined in
Mathlib.Algebra.Group.Prod
Cited by
2 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
Assumes
MulOneClassMulOneClassMulOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Monoid.Coprod.fst_comp_toProd · cited by 1Coprod.fst_comp_toProdSubgroup.goursat · cited by 0Subgroup.goursatMonoidHom · cited by 3629MonoidHomMulOneClass · cited by 1018MulOneClassMonoidHom.comp · cited by 469MonoidHom.compMonoidHom.ext · cited by 109MonoidHom.extMonoidHom.fst · cited by 28MonoidHom.fstMonoidHom.prod · cited by 15MonoidHom.prodMonoidHom.fst_comp_prodCITED BYCITES

Cites6

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.