Theorems · Theorem · logic and foundations
Turing.TM1.Stmt.brecOn.eq
∀ {Γ : Type u_1} {Λ : Type u_2} {σ : Type u_3} {motive : Turing.TM1.Stmt Γ Λ σ → Sort u} (t : Turing.TM1.Stmt Γ Λ σ)
(F_1 : (t : Turing.TM1.Stmt Γ Λ σ) → Turing.TM1.Stmt.below t → motive t),
Turing.TM1.Stmt.brecOn t F_1 = F_1 t (Turing.TM1.Stmt.brecOn.go t F_1).2- Cited by
- 6 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Turing.TM1.Stmtstatement and proof · cited by 49
- Turing.Dirproof · cited by 30
- Turing.TM1.Stmt.belowstatement and proof · cited by 7
- Turing.TM1.Stmt.brecOn.gostatement · cited by 7
- Turing.TM1.Stmt.casesOnproof · cited by 2
- Turing.TM1.Stmt.brecOnstatement and proof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Turing.TM1.stepAux.eq_defproof · cited by 3
- Turing.TM1.stmts₁.eq_defproof · cited by 2
- Turing.TM1.SupportsStmt.eq_defproof · cited by 1
- Turing.TM1to1.writes.eq_defproof · cited by 1
- Turing.TM1to0.trAux.eq_defproof · cited by 0
- Turing.TM1to1.trNormal.eq_defproof · cited by 0