Theorems · Definition · logic and foundations
FirstOrder.Language.LHom.onTerm
{L : FirstOrder.Language} → {L' : FirstOrder.Language} → {α : Type u'} → (L →ᴸ L') → L.Term α → L'.Term αMaps a term's symbols along a language map.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Termstatement and proof · cited by 166
- FirstOrder.Language.LHomstatement and proof · cited by 66
- FirstOrder.Language.Term.brecOnproof · cited by 1
Cited by12
Results whose statement or proof uses this declaration.
- FirstOrder.Language.LEquiv.onTermproof · cited by 3
- FirstOrder.Language.LHom.realize_onTermstatement and proof · cited by 3
- FirstOrder.Language.LHom.realize_onBoundedFormulaproof · cited by 2
- Set.termDefinable_empty_iffproof · cited by 1
- FirstOrder.Language.LEquiv.onTerm_symm_applystatement · cited by 1
- FirstOrder.Language.LHom.comp_onTermstatement and proof · cited by 1
- FirstOrder.Language.LHom.id_onTermstatement and proof · cited by 1
- Set.TermDefinable.map_expansionproof · cited by 1
- FirstOrder.Language.LEquiv.onTerm_applystatement · cited by 0
- FirstOrder.Language.LHom.onBoundedFormula.eq_defstatement and proof · cited by 0
- FirstOrder.Language.LHom.onTerm.eq_defstatement and proof · cited by 0
- FirstOrder.Language.LHom.comp_onBoundedFormulaproof · cited by 0