Theorems · Theorem · order theory
OrderIso.arrowCongr_symm_apply
∀ {α : Type u_6} {β : Type u_7} {γ : Type u_8} {δ : Type u_9} [inst : Preorder α] [inst_1 : Preorder β]
[inst_2 : Preorder γ] [inst_3 : Preorder δ] (f : α ≃o γ) (g : β ≃o δ) (p : γ →o δ),
(RelIso.symm (f.arrowCongr g)) p = (↑g.symm).comp (p.comp ↑f)- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
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Cites10
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
- Preorderstatement and proof · cited by 7,952
- OrderHomstatement and proof · cited by 934
- OrderIsostatement and proof · cited by 874
- OrderIso.symmstatement · cited by 475
- RelIsostatement · cited by 456
- RelIso.symmstatement and proof · cited by 193
- OrderHom.compstatement · cited by 61
- OrderHomClass.toOrderHomstatement · cited by 44
- OrderIso.arrowCongrstatement and proof · cited by 3
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