Theorems · Theorem · order theory
Nat.mem_Ioc_succ
∀ {a b : ℕ}, a ∈ Finset.Ioc b (b + 1) ↔ a = b + 1- Defined in
- Mathlib.Order.Interval.Finset.Nat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.Iocstatement · cited by 301
- Nat.Ioc_succ_singletonproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Nat.mem_Ioc_succ'proof · cited by 0