Theorems · Theorem · general topology
EsakiaHom.cancel_right
∀ {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]
{g₁ g₂ : EsakiaHom β γ} {f : EsakiaHom α β}, Function.Surjective ⇑f → (g₁.comp f = g₂.comp f ↔ g₁ = g₂)- Defined in
- Mathlib.Topology.Order.Hom.Esakia
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
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Cites8
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
- Function.Surjective.forallproof · cited by 214
- DFunLike.ext_iffproof · cited by 102
- EsakiaHomstatement and proof · cited by 23
- EsakiaHom.compstatement and proof · cited by 9
- EsakiaHom.extproof · cited by 5
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