Theorems · Theorem · order theory
OrderIso.ofRelIsoLT_symm
∀ {α : Type u_6} {β : Type u_7} [inst : PartialOrder α] [inst_1 : PartialOrder β]
(e : (fun x1 x2 => x1 < x2) ≃r fun x1 x2 => x1 < x2), (OrderIso.ofRelIsoLT e).symm = OrderIso.ofRelIsoLT e.symm- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderPartialOrder
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- OrderIsostatement · cited by 874
- OrderIso.symmstatement · cited by 475
- RelIsostatement and proof · cited by 456
- RelIso.symmstatement · cited by 193
- OrderIso.ofRelIsoLTstatement · cited by 8
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