Theorems · Theorem · order theory
Filter.limsInf_bot
∀ {α : Type u_1} [inst : CompleteLattice α], ⊥.limsInf = ⊤- Defined in
- Mathlib.Order.LiminfLimsup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLattice
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
- Filterstatement · cited by 8,121
- Set.ofPredproof · cited by 6,101
- Bot.botstatement · cited by 4,720
- CompleteLatticestatement and proof · cited by 1,048
- top_uniqueproof · cited by 102
- le_sSupproof · cited by 79
- Filter.limsInfstatement · cited by 31
Cited by1
Results whose statement or proof uses this declaration.
- Filter.liminf_botproof · cited by 4