Theorems · Theorem · order theory
iInf_lt_top
∀ {α : Type u_1} {ι : Sort u_4} [inst : CompleteLattice α] {s : ι → α}, ⨅ i, s i < ⊤ ↔ ∃ i, s i < ⊤- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
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.
- Top.topstatement and proof · cited by 9,680
- iInfstatement · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- lt_top_iff_ne_topproof · cited by 95
- iInf_eq_topproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- eHolderNorm_lt_topproof · cited by 2