Theorems · Theorem · order theory
Nat.Ioc_succ_singleton
∀ (b : ℕ), Finset.Ioc b (b + 1) = {b + 1}- Defined in
- Mathlib.Order.Interval.Finset.Nat
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Finsetstatement · cited by 13,712
- Finset.Iocstatement · cited by 301
Cited by6
Results whose statement or proof uses this declaration.
- Nat.mem_Ioc_succproof · cited by 1
- MeasureTheory.Measure.map_piSingletonproof · cited by 1
- Finset.sum_Ioc_succ_topproof · cited by 1
- sum_mul_eq_sub_integral_mul₀proof · cited by 1
- Polynomial.Monic.not_irreducible_iff_exists_add_mul_eq_coeffproof · cited by 1
- Finset.prod_Ioc_succ_topproof · cited by 0