Theorems · Theorem · order theory
CoheytingHom.cancel_left
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : CoheytingAlgebra α] [inst_1 : CoheytingAlgebra β]
[inst_2 : CoheytingAlgebra γ] {f₁ f₂ : CoheytingHom α β} {g : CoheytingHom β γ},
Function.Injective ⇑g → (g.comp f₁ = g.comp f₂ ↔ f₁ = f₂)- Defined in
- Mathlib.Order.Heyting.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CoheytingAlgebrastatement and proof · cited by 96
- CoheytingHomstatement and proof · cited by 20
- CoheytingHom.compstatement and proof · cited by 7
- CoheytingHom.extproof · cited by 5
- CoheytingHom.comp_applyproof · cited by 1
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