Theorems · Theorem · order theory
iInf_eq_if
∀ {α : Type u_1} [inst : CompleteLattice α] {p : Prop} [inst_1 : Decidable p] (a : α), ⨅ (_ : p), a = if p then a else ⊤- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLatticeDecidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- iInfstatement · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- iInf_eq_difproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.mkMetric_mono_smulproof · cited by 2
- MeasureTheory.Measure.mkMetric_applyproof · cited by 2
- Set.iInter_eq_ifproof · cited by 0