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Theorems · Theorem

MonoidHom.CompTriple.comp_eq

∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} {inst : Monoid M} {inst_1 : Monoid N} {inst_2 : Monoid P} {φ : M →* N}
  {ψ : N →* P} {χ : outParam (M →* P)} [self : φ.CompTriple ψ χ], ψ.comp φ = χ

The maps form a commuting triangle

Defined in
Mathlib.Algebra.Group.Hom.CompTypeclasses
Cited by
4 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
Assumes
MonoidHom.CompTriple
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Around this declaration

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

DirichletCharacter.changeLevel_self · cited by 2DirichletCharacter.change…HNNExtension.induction_on · cited by 1HNNExtension.induction_onMonoidHom.CompTriple.comp_assoc · cited by 0CompTriple.comp_assocMonoidHom.CompTriple.comp_apply · cited by 0CompTriple.comp_applyMonoid · cited by 3887MonoidMonoidHom · cited by 3629MonoidHomMonoidHom.comp · cited by 469MonoidHom.compMonoidHom.CompTriple · cited by 14MonoidHom.CompTripleCompTriple.comp_eqCITED BYCITES

Cites4

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Cited by4

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