Theorems · Theorem · order theory
StrictMono.orderIsoOfRightInverse_apply
∀ {α : Type u_2} {β : Type u_3} [inst : LinearOrder α] [inst_1 : Preorder β] (f : α → β) (h_mono : StrictMono f)
(g : β → α) (hg : Function.RightInverse g f), ⇑(StrictMono.orderIsoOfRightInverse f h_mono g hg) = f- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrderPreorder
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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
- LinearOrderstatement and proof · cited by 8,572
- Preorderstatement and proof · cited by 7,952
- StrictMonostatement and proof · cited by 706
- RelIsostatement · cited by 456
- StrictMono.orderIsoOfRightInversestatement and proof · cited by 5
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