Theorems · Theorem · order theory
Nat.leRecOn_self
∀ {C : ℕ → Sort u_1} {n : ℕ} {next : {k : ℕ} → C k → C (k + 1)} (x : C n), Nat.leRecOn ⋯ (fun {k} => next) x = x- Defined in
- Mathlib.Data.Nat.Init
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.leRecOnstatement · cited by 13
- Nat.leRec_selfproof · cited by 7
Cited by5
Results whose statement or proof uses this declaration.
- Metric.toInductiveLimit_isometryproof · cited by 1
- Metric.toInductiveLimit_commuteproof · cited by 0
- Nat.leRecOn_injectiveproof · cited by 0
- FirstOrder.Language.DirectedSystem.coe_natLERecproof · cited by 0
- Nat.leRecOn_surjectiveproof · cited by 0