Theorems · Definition · logic and foundations
FirstOrder.Language.LHom.onFormula
{L : FirstOrder.Language} → {L' : FirstOrder.Language} → {α : Type u'} → (L →ᴸ L') → L.Formula α → L'.Formula αMaps a formula's symbols along a language map.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 14 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.Formulastatement · cited by 93
- FirstOrder.Language.LHomstatement and proof · cited by 66
- FirstOrder.Language.LHom.onBoundedFormulaproof · cited by 9
Cited by7
Results whose statement or proof uses this declaration.
- FirstOrder.Language.LHom.onSentenceproof · cited by 3
- FirstOrder.Language.LHom.setOfPred_realize_onFormulastatement · cited by 2
- Set.empty_definable_iffproof · cited by 2
- FirstOrder.Language.LHom.realize_onFormulastatement · cited by 1
- Set.Definable.map_expansionproof · cited by 1
- FirstOrder.Language.LEquiv.onFormula_applystatement · cited by 0
- FirstOrder.Language.LHom.setOf_realize_onFormulastatement · cited by 0