Theorems · Definition · logic and foundations
FirstOrder.Language.LHom.onBoundedFormula
{L : FirstOrder.Language} →
{L' : FirstOrder.Language} → {α : Type u'} → (L →ᴸ L') → {k : ℕ} → L.BoundedFormula α k → L'.BoundedFormula α kMaps a bounded formula's symbols along a language map.
- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 13 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.BoundedFormulastatement and proof · cited by 207
- FirstOrder.Language.LHomstatement and proof · cited by 66
- FirstOrder.Language.BoundedFormula.brecOnproof · cited by 1
Cited by11
Results whose statement or proof uses this declaration.
- FirstOrder.Language.LHom.onFormulaproof · cited by 6
- FirstOrder.Language.LEquiv.onBoundedFormulaproof · cited by 3
- FirstOrder.Language.LHom.realize_onBoundedFormulastatement and proof · cited by 2
- FirstOrder.Language.LHom.comp_onBoundedFormulastatement and proof · cited by 0
- FirstOrder.Language.LEquiv.onSentence_applystatement · cited by 0
- FirstOrder.Language.LEquiv.onSentence_symm_applystatement · cited by 0
- FirstOrder.Language.MeetsDefinable.isElementary_closureproof · cited by 0
- FirstOrder.Language.LHom.id_onBoundedFormulastatement and proof · cited by 0
- FirstOrder.Language.LHom.onBoundedFormula.eq_defstatement and proof · cited by 0
- FirstOrder.Language.LEquiv.onBoundedFormula_applystatement · cited by 0
- FirstOrder.Language.LEquiv.onBoundedFormula_symm_applystatement · cited by 0