Theorems · Theorem · order theory
WithTop.image_coe_Ico
∀ {α : Type u_1} [inst : Preorder α] {a b : α}, WithTop.some '' Set.Ico a b = Set.Ico ↑a ↑b- Defined in
- Mathlib.Order.Interval.Set.WithBotTop
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Set.imagestatement and proof · cited by 5,609
- WithTopstatement and proof · cited by 3,754
- WithTop.somestatement and proof · cited by 1,128
- Set.Icostatement and proof · cited by 799
- le_topproof · cited by 411
- Set.Subset.transproof · cited by 218
- Set.image_preimage_eq_inter_rangeproof · cited by 121
- Set.inter_eq_self_of_subset_leftproof · cited by 52
- WithTop.range_coeproof · cited by 19
- Set.Iio_subset_Iioproof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- EReal.image_coe_Icoproof · cited by 0
- WithTop.Ico_coeproof · cited by 0
- ENNReal.image_coe_Icoproof · cited by 0