Theorems · Definition · order theory
OrderIso.IciBot
{α : Type u_1} → [inst : Preorder α] → [inst_1 : OrderBot α] → ↑(Set.Ici ⊥) ≃o αOrder isomorphism between Ici (⊥ : α) and α when α has a bottom element
- Defined in
- Mathlib.Order.Interval.Set.OrderIso
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Equivproof · cited by 8,337
- Preorderstatement and proof · cited by 7,952
- Set.Elemstatement and proof · cited by 7,166
- Bot.botstatement and proof · cited by 4,720
- Set.Icistatement and proof · cited by 1,070
- OrderBotstatement and proof · cited by 1,055
- OrderIsostatement · cited by 874
- RelIso.toEquivproof · cited by 113
- Equiv.subtypeUnivEquivproof · cited by 11
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