Theorems · Theorem · logic and foundations
FirstOrder.Language.LHom.comp_onBoundedFormula
∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} {α : Type u'} {n : ℕ} {L'' : FirstOrder.Language} (φ : L' →ᴸ L'')
(ψ : L →ᴸ L'), (φ.comp ψ).onBoundedFormula = φ.onBoundedFormula ∘ ψ.onBoundedFormula- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Termproof · cited by 166
- FirstOrder.Language.Relationsproof · cited by 147
- FirstOrder.Language.LHomstatement and proof · cited by 66
- FirstOrder.Language.LHom.onRelationproof · cited by 27
- FirstOrder.Language.LHom.compstatement and proof · cited by 20
- FirstOrder.Language.LHom.onTermproof · cited by 11
- FirstOrder.Language.LHom.onBoundedFormulastatement and proof · cited by 9
- FirstOrder.Language.Relations.boundedFormulaproof · cited by 8
- FirstOrder.Language.LHom.comp_onRelationproof · cited by 1
- FirstOrder.Language.LHom.comp_onTermproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.