Theorems · Theorem · order theory
Set.Ici_zero_eq_univ
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : Zero α] [IsBotZeroClass α], Set.Ici 0 = Set.univ- Defined in
- Mathlib.Order.Interval.Set.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext, Quot.sound
- Assumes
- PreorderZeroIsBotZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.univstatement · cited by 3,945
- Set.extproof · cited by 2,266
- Set.Icistatement · cited by 1,070
- Set.mem_univproof · cited by 416
- zero_leproof · cited by 382
- IsBotZeroClassstatement and proof · cited by 71
- Set.mem_Iciproof · cited by 37
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.pow_idealOfVarsproof · cited by 1
- MeasureTheory.Measure.mkMetric_monoproof · cited by 0
- MeasureTheory.OuterMeasure.mkMetric_monoproof · cited by 0