Theorems · Definition · logic and foundations
FirstOrder.Language.PartialEquiv.symm
{L : FirstOrder.Language} →
{M : Type w} →
{N : Type w'} → [inst : L.Structure M] → [inst_1 : L.Structure N] → L.PartialEquiv M N → L.PartialEquiv N MMaps to the symmetric partial equivalence.
- Defined in
- Mathlib.ModelTheory.PartialEquiv
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.domproof · cited by 35
- FirstOrder.Language.Equiv.symmproof · cited by 32
- FirstOrder.Language.PartialEquiv.codproof · cited by 32
- FirstOrder.Language.PartialEquiv.toEquivproof · cited by 24
Cited by11
Results whose statement or proof uses this declaration.
- FirstOrder.Language.PartialEquiv.monotone_symmstatement · cited by 3
- FirstOrder.Language.FGEquiv.symmproof · cited by 2
- FirstOrder.Language.PartialEquiv.codRestrictproof · cited by 2
- FirstOrder.Language.PartialEquiv.symm_le_iffstatement and proof · cited by 2
- FirstOrder.Language.PartialEquiv.symm_symmstatement · cited by 2
- FirstOrder.Language.PartialEquiv.symm_le_symmstatement and proof · cited by 1
- FirstOrder.Language.PartialEquiv.le_codRestrictproof · cited by 0
- FirstOrder.Language.PartialEquiv.symm_applystatement · cited by 0
- FirstOrder.Language.PartialEquiv.symm_bijectivestatement and proof · cited by 0
- FirstOrder.Language.FGEquiv.symm_coestatement · cited by 0
- FirstOrder.Language.PartialEquiv.codRestrict_leproof · cited by 0