Theorems · Theorem · logic and foundations
FirstOrder.Language.LEquiv.onTerm_symm_apply
∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} {α : Type u'} (φ : L ≃ᴸ L') (a : L'.Term α),
φ.onTerm.symm a = φ.invLHom.onTerm a- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Termstatement and proof · cited by 166
- FirstOrder.Language.LEquivstatement and proof · cited by 19
- FirstOrder.Language.LHom.onTermstatement · cited by 11
- FirstOrder.Language.LEquiv.invLHomstatement · cited by 10
- FirstOrder.Language.LEquiv.onTermstatement and proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Set.termDefinable_empty_iffproof · cited by 1