Theorems · Theorem · logic and foundations
FirstOrder.Language.LHom.comp_onTerm
∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} {α : Type u'} {L'' : FirstOrder.Language} (φ : L' →ᴸ L'')
(ψ : L →ᴸ L'), (φ.comp ψ).onTerm = φ.onTerm ∘ ψ.onTerm- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Functionsproof · cited by 153
- FirstOrder.Language.LHomstatement and proof · cited by 66
- FirstOrder.Language.LHom.onFunctionproof · cited by 27
- FirstOrder.Language.LHom.compstatement and proof · cited by 20
- FirstOrder.Language.LHom.onTermstatement and proof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.LHom.comp_onBoundedFormulaproof · cited by 0