Theorems · Theorem · logic and foundations
Order.enum_bot
∀ {α : Type u_2} [inst : ConditionallyCompleteLinearOrderBot α] [inst_1 : WellFoundedLT α]
[inst_2 : IsRegularCardinalOrder α] {s : Set α} {hs : IsCofinal s}, ↑((Order.enum s hs) ⊥) = sInf s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Bot.botstatement and proof · cited by 4,720
- OrderBotproof · cited by 1,055
- InfSet.sInfstatement and proof · cited by 935
- OrderIsostatement · cited by 874
- WellFoundedLTstatement and proof · cited by 491
- Botproof · cited by 96
- ConditionallyCompleteLinearOrderBotstatement and proof · cited by 84
- IsCofinalstatement and proof · cited by 84
- OrderIso.map_botproof · cited by 30
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