Theorems · Theorem · logic and foundations
FirstOrder.Language.BoundedFormula.relabel_not
∀ {L : FirstOrder.Language} {α : Type u'} {β : Type v'} {n : ℕ} (g : α → β ⊕ Fin n) {k : ℕ} (φ : L.BoundedFormula α k),
FirstOrder.Language.BoundedFormula.relabel g φ.not = (FirstOrder.Language.BoundedFormula.relabel g φ).not- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botproof · cited by 4,720
- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.BoundedFormulastatement and proof · cited by 207
- FirstOrder.Language.BoundedFormula.notstatement · cited by 27
- FirstOrder.Language.BoundedFormula.relabelstatement and proof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.relabel_exproof · cited by 1