Theorems · Theorem · order theory
WithTop.Iio_coe
∀ {α : Type u_1} [inst : Preorder α] {a : α}, Set.Iio ↑a = WithTop.some '' Set.Iio a- Defined in
- Mathlib.Order.Interval.Set.WithBotTop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.imagestatement · cited by 5,609
- WithTopstatement · cited by 3,754
- Set.Iiostatement · cited by 1,166
- WithTop.somestatement · cited by 1,128
- WithTop.image_coe_Iioproof · cited by 4
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