Theorems · Theorem · order theory
WithTop.iInf_coe_lt_top
∀ {α : Type u_1} {ι : Sort u_4} [inst : ConditionallyCompleteLinearOrderBot α] {f : ι → α}, ⨅ i, ↑(f i) < ⊤ ↔ Nonempty ι- Cited by
- 2 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, 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.
- Top.topstatement and proof · cited by 9,680
- WithTopstatement · cited by 3,754
- iInfstatement and proof · cited by 1,690
- WithTop.somestatement and proof · cited by 1,128
- lt_top_iff_ne_topproof · cited by 95
- ConditionallyCompleteLinearOrderBotstatement and proof · cited by 84
- not_isEmpty_iffproof · cited by 19
- WithTop.iInf_coe_eq_topproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- ENat.iInf_natCast_lt_topproof · cited by 1
- ENNReal.iInf_coe_lt_topproof · cited by 0