Theorems · Definition · order theory
Interval.coeHom
{α : Type u_1} → [inst : PartialOrder α] → Interval α ↪o Set αConsider an interval [a, b] as the set [a, b].
- Defined in
- Mathlib.Order.Interval.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrder
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 and proof · cited by 53,352
- SetLike.coeproof · cited by 8,199
- PartialOrderstatement and proof · cited by 6,410
- OrderEmbeddingstatement · cited by 619
- NonemptyIntervalproof · cited by 139
- Intervalstatement and proof · cited by 76
- OrderEmbedding.ofMapLEIffproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Interval.coe_subset_coeproof · cited by 1
- Interval.coe_sSubset_coeproof · cited by 0