Theorems · Definition · logic and foundations
FirstOrder.Language.LHom.id
(L : FirstOrder.Language) → L →ᴸ L
The identity language homomorphism.
- Defined in
- Mathlib.ModelTheory.LanguageMap
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.LHomstatement · cited by 66
Cited by27
Results whose statement or proof uses this declaration.
- FirstOrder.Language.LEquiv.addEmptyConstantsproof · cited by 5
- FirstOrder.Language.lhomWithConstantsMapproof · cited by 3
- FirstOrder.Language.LEquiv.reflproof · cited by 2
- FirstOrder.Language.LHom.addConstantsproof · cited by 2
- Set.empty_definable_iffproof · cited by 2
- FirstOrder.Language.LEquiv.addEmptyConstants_invLHomstatement · cited by 2
- FirstOrder.Language.LHom.id_onTermstatement and proof · cited by 1
- Set.termDefinable_empty_iffproof · cited by 1
- FirstOrder.Language.LEquiv.mk.injstatement and proof · cited by 1
- FirstOrder.Language.LEquiv.mk.noConfusionstatement and proof · cited by 1
- FirstOrder.Language.LEquiv.recOnstatement and proof · cited by 0
- FirstOrder.Language.LEquiv.refl_invLHomstatement · cited by 0