Theorems · Theorem · general topology
EsakiaHom.cancel_left
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : TopologicalSpace α] [inst_1 : Preorder α]
[inst_2 : TopologicalSpace β] [inst_3 : Preorder β] [inst_4 : TopologicalSpace γ] [inst_5 : Preorder γ]
{g : EsakiaHom β γ} {f₁ f₂ : EsakiaHom α β}, Function.Injective ⇑g → (g.comp f₁ = g.comp f₂ ↔ f₁ = f₂)- Defined in
- Mathlib.Topology.Order.Hom.Esakia
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
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Cites7
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
- TopologicalSpacestatement and proof · cited by 24,529
- Preorderstatement and proof · cited by 7,952
- EsakiaHomstatement and proof · cited by 23
- EsakiaHom.compstatement and proof · cited by 9
- EsakiaHom.extproof · cited by 5
- EsakiaHom.comp_applyproof · cited by 1
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