Theorems · Theorem · order theory
Interval.coe_iInf
∀ {α : Type u_1} {ι : Sort u_4} [inst : CompleteLattice α] [inst_1 : DecidableLE α] (f : ι → Interval α),
↑(⨅ i, f i) = ⋂ i, ↑(f i)- Defined in
- Mathlib.Order.Interval.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLatticeDecidableLE
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Set.rangeproof · cited by 4,705
- iInfstatement · cited by 1,690
- Set.iInterstatement and proof · cited by 1,084
- CompleteLatticestatement and proof · cited by 1,048
- Set.iInter_congr_Propproof · cited by 170
- Intervalstatement and proof · cited by 76
- Set.iInter_existsproof · cited by 44
- Set.iInter_iInter_eq'proof · cited by 22
- Interval.coe_sInfproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Interval.coe_iInf₂proof · cited by 0