Theorems · Theorem · order theory
OrderIso.symm_apply_le
∀ {α : Type u_2} {β : Type u_3} [inst : LE α] [inst_1 : LE β] (e : α ≃o β) {x : α} {y : β}, e.symm y ≤ x ↔ y ≤ e x- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- OrderIsostatement and proof · cited by 874
- OrderIso.symmstatement · cited by 475
- RelIso.toEquivproof · cited by 113
- RelIso.rel_symm_applyproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- neg_leproof · cited by 27
- inv_le'proof · cited by 5
- lowerClosure_imageproof · cited by 3
- AddSubgroup.finrank_eq_of_finiteIndexproof · cited by 1
- Algebra.adjoin_topproof · cited by 1