Theorems · Theorem · order theory
Set.finite_Iio
∀ {α : Type u_1} [inst : Preorder α] [LocallyFiniteOrderBot α] (a : α), (Set.Iio a).Finite- Defined in
- Mathlib.Order.Interval.Finset.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Set.Finitestatement · cited by 1,814
- Set.Iiostatement and proof · cited by 1,166
- LocallyFiniteOrderBotstatement and proof · cited by 286
- Set.toFiniteproof · cited by 174
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.binomial_real_singletonproof · cited by 5
- spectralValueTerms_finite_rangeproof · cited by 2
- MeasureTheory.LevyProkhorov.continuous_ofMeasure_probabilityMeasureproof · cited by 1
- PowerSeries.coeff_subst_sum_C_substInvFun_mul_X_pow_sub_Xproof · cited by 1