Theorems · Theorem · logic and foundations
FirstOrder.Language.PartialEquiv.symm_le_iff
∀ {L : FirstOrder.Language} {M : Type w} {N : Type w'} [inst : L.Structure M] [inst_1 : L.Structure N]
{f : L.PartialEquiv M N} {g : L.PartialEquiv N M}, f.symm ≤ g ↔ f ≤ g.symm- Defined in
- Mathlib.ModelTheory.PartialEquiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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.
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.PartialEquivstatement and proof · cited by 44
- FirstOrder.Language.PartialEquiv.symmstatement and proof · cited by 9
- FirstOrder.Language.PartialEquiv.monotone_symmproof · cited by 3
- FirstOrder.Language.PartialEquiv.symm_symmproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- FirstOrder.Language.PartialEquiv.codRestrict_leproof · cited by 0
- FirstOrder.Language.PartialEquiv.le_codRestrictproof · cited by 0