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Theorems · Theorem · group theory

MonoidHom.cancel_right

∀ {M : Type u_4} {N : Type u_5} {P : Type u_6} [inst : MulOne M] [inst_1 : MulOne N] [inst_2 : MulOne P]
  {g₁ g₂ : N →* P} {f : M →* N}, Function.Surjective ⇑f → (g₁.comp f = g₂.comp f ↔ g₁ = g₂)
Defined in
Mathlib.Algebra.Group.Hom.Defs
Cited by
3 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
Assumes
MulOneMulOneMulOne
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Around this declaration

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

Monoid.PushoutI.hom_ext · cited by 2PushoutI.hom_extHNNExtension.hom_ext · cited by 2HNNExtension.hom_extMonoid.CoprodI.ext_hom · cited by 2CoprodI.ext_homDFunLike.coe · cited by 62936DFunLike.coeMonoidHom · cited by 3629MonoidHomMonoidHom.comp · cited by 469MonoidHom.compFunction.Surjective.forall · cited by 214Surjective.forallMonoidHom.ext · cited by 109MonoidHom.extDFunLike.ext_iff · cited by 102DFunLike.ext_iffMulOne · cited by 65MulOneMonoidHom.cancel_rightCITED BYCITES

Cites7

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

Cited by3

Results whose statement or proof uses this declaration.