Theorems · Theorem · order theory
OrderIso.sumLexIioIci_symm_apply_Ici
∀ {α : Type u_1} [inst : LinearOrder α] {x : α} (a : ↑(Set.Ici x)),
(OrderIso.sumLexIioIci x).symm ↑a = toLex (Sum.inr a)- Defined in
- Mathlib.Order.Hom.Lex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Set.Iiostatement · cited by 1,166
- Set.Icistatement and proof · cited by 1,070
- OrderIsostatement · cited by 874
- OrderIso.symmstatement · cited by 475
- Lexstatement · cited by 370
- toLexstatement · cited by 195
- OrderIso.sumLexIioIcistatement · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.