Theorems · Theorem · logic and foundations
FirstOrder.Language.BoundedFormula.castLE_rfl
∀ {L : FirstOrder.Language} {α : Type u'} {n : ℕ} (h : n ≤ n) (φ : L.BoundedFormula α n),
FirstOrder.Language.BoundedFormula.castLE h φ = φ- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, 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.BoundedFormulastatement and proof · cited by 207
- FirstOrder.Language.Termproof · cited by 166
- FirstOrder.Language.Relationsproof · cited by 147
- FirstOrder.Language.Term.relabelproof · cited by 27
- FirstOrder.Language.BoundedFormula.castLEstatement and proof · cited by 13
- FirstOrder.Language.Term.relabel_id_eq_idproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.relabel_allproof · cited by 2
- FirstOrder.Language.BoundedFormula.realize_castLE_of_eqproof · cited by 1
- FirstOrder.Language.BoundedFormula.realize_mapTermRel_add_castLeproof · cited by 1
- FirstOrder.Language.BoundedFormula.relabel_sumInlproof · cited by 0