Theorems · Definition · logic and foundations
FirstOrder.Language.Term.brecOn.go
{L : FirstOrder.Language} →
{α : Type u'} →
{motive : L.Term α → Sort u_1} →
(t : L.Term α) →
((t : L.Term α) → FirstOrder.Language.Term.below t → motive t) → motive t ×' FirstOrder.Language.Term.below t- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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.belowstatement and proof · cited by 13
Cited by14
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Term.brecOn.eqstatement · cited by 12
- FirstOrder.Language.Term.brecOnproof · cited by 1
- FirstOrder.Language.LHom.onTerm.eq_defproof · cited by 0
- FirstOrder.Language.Term.constantsToVars.eq_defproof · cited by 0
- FirstOrder.Language.Term.restrictVar.eq_defproof · cited by 0
- FirstOrder.Language.Term.varFinset.eq_defproof · cited by 0
- FirstOrder.Language.Term.listEncode.eq_defproof · cited by 0
- FirstOrder.Language.Term.restrictVarLeft.eq_defproof · cited by 0
- FirstOrder.Language.Term.varFinsetLeft.eq_defproof · cited by 0
- FirstOrder.Language.Term.realize.eq_defproof · cited by 0
- FirstOrder.Language.Term.subst.eq_defproof · cited by 0
- FirstOrder.Language.Term.varsToConstants.eq_defproof · cited by 0