Theorems · Theorem · order theory
Concept.rel_extent_intent
∀ {α : Type u_2} {β : Type u_3} {r : α → β → Prop} {c : Concept α β r} {x : α} {y : β},
x ∈ c.extent → y ∈ c.intent → r x y- Defined in
- Mathlib.Order.Concept
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Conceptstatement and proof · cited by 78
- Concept.extentstatement and proof · cited by 52
- Concept.intentstatement and proof · cited by 51
- Concept.upperPolar_extentproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- Concept.mem_extent_of_rel_extentproof · cited by 4
- Concept.mem_intent_of_intent_relproof · cited by 3
- Concept.disjoint_extent_intentproof · cited by 1
- DedekindCut.image_left_subset_lowerBoundsproof · cited by 0
- DedekindCut.image_right_subset_upperBoundsproof · cited by 0