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Theorems · Theorem · order theory

InfTopHom.cancel_right

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : Min α] [inst_1 : Top α] [inst_2 : Min β] [inst_3 : Top β]
  [inst_4 : Min γ] [inst_5 : Top γ] {g₁ g₂ : InfTopHom β γ} {f : InfTopHom α β},
  Function.Surjective ⇑f → (g₁.comp f = g₂.comp f ↔ g₁ = g₂)
Defined in
Mathlib.Order.Hom.BoundedLattice
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Foundations
Depth 11 from the axioms · uses Quot.sound
Assumes
MinTopMinTopMinTop
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DFunLike.coe · cited by 62936DFunLike.coeFunction.Surjective.forall · cited by 214Surjective.forallDFunLike.ext_iff · cited by 102DFunLike.ext_iffTop · cited by 93TopInfTopHom · cited by 60InfTopHomInfTopHom.comp · cited by 12InfTopHom.compInfTopHom.ext · cited by 3InfTopHom.extInfTopHom.cancel_rightCITED BYCITES

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