Theorems · Theorem · order theory
Concept.disjoint_extent_intent
∀ {α : Type u_2} {r' : α → α → Prop} {c' : Concept α α r'} [Std.Irrefl r'], Disjoint c'.extent c'.intentNote that if r' is the ≤ relation, this theorem will often not be true!
- Defined in
- Mathlib.Order.Concept
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Std.Irrefl
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Disjointstatement · cited by 2,201
- Conceptstatement and proof · cited by 78
- Concept.extentstatement and proof · cited by 52
- Concept.intentstatement and proof · cited by 51
- Set.disjoint_iff_forall_neproof · cited by 22
- irreflproof · cited by 15
- Concept.rel_extent_intentproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Concept.isCompl_extent_intentproof · cited by 2