Theorems · Theorem · order theory
OrderIso.map_ciInf
∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_4} [inst : ConditionallyCompleteLattice α]
[inst_1 : ConditionallyCompleteLattice β] [Nonempty ι] (e : α ≃o β) {f : ι → α},
BddBelow (Set.range f) → e (⨅ i, f i) = ⨅ i, e (f i)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Set.rangestatement and proof · cited by 4,705
- iInfstatement · cited by 1,690
- OrderIsostatement and proof · cited by 874
- BddBelowstatement and proof · cited by 401
- ConditionallyCompleteLatticestatement and proof · cited by 364
- OrderIso.dualproof · cited by 24
- OrderIso.map_ciSupproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.