Theorems · Theorem · order theory
Set.preimage_subtype_val_Ici
∀ {α : Type u_1} [inst : Preorder α] {p : α → Prop} (a : { x // p x }), Subtype.val ⁻¹' Set.Ici ↑a = Set.Ici a- Defined in
- Mathlib.Order.Interval.Set.Image
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.preimagestatement · cited by 4,946
- Set.Icistatement · cited by 1,070
Cited by1
Results whose statement or proof uses this declaration.
- unitInterval.subtype_Ici_eq_Iccproof · cited by 0