Theorems · Definition · logic and foundations
FirstOrder.Language.Term.brecOn
{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- Defined in
- Mathlib.ModelTheory.Syntax
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 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.Term.brecOn.goproof · cited by 13
- FirstOrder.Language.Term.belowstatement and proof · cited by 13
Cited by13
Results whose statement or proof uses this declaration.
- FirstOrder.Language.Term.realizeproof · cited by 81
- FirstOrder.Language.Term.relabelproof · cited by 27
- FirstOrder.Language.Term.brecOn.eqstatement and proof · cited by 12
- FirstOrder.Language.LHom.onTermproof · cited by 11
- FirstOrder.Language.Term.varFinsetLeftproof · cited by 7
- FirstOrder.Language.Term.varsToConstantsproof · cited by 6
- FirstOrder.Language.Term.constantsToVarsproof · cited by 5
- FirstOrder.Language.Term.restrictVarLeftproof · cited by 5
- FirstOrder.Language.Term.substproof · cited by 5
- FirstOrder.Language.Term.substFuncproof · cited by 4
- FirstOrder.Language.Term.varFinsetproof · cited by 4
- FirstOrder.Language.Term.listEncodeproof · cited by 4