Theorems · Theorem · logic and foundations
FirstOrder.Language.Term.relabel_relabel
∀ {L : FirstOrder.Language} {α : Type u'} {β : Type v'} {γ : Type u_1} (f : α → β) (g : β → γ) (t : L.Term α),
FirstOrder.Language.Term.relabel g (FirstOrder.Language.Term.relabel f t) = FirstOrder.Language.Term.relabel (g ∘ f) t- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
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.Functionsproof · cited by 153
- FirstOrder.Language.Term.relabelstatement and proof · cited by 27
Cited by3
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.castLE_castLEproof · cited by 1
- FirstOrder.Ring.mvPolynomial_zeroLocus_definableproof · cited by 1
- FirstOrder.Language.Term.relabel_comp_relabelproof · cited by 1