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Theorems · Theorem · order theory

Concept.isCompl_extent_intent

∀ {α : Type u_2} {r' : α → α → Prop} [IsStrictTotalOrder α r'] (c' : Concept α α r'), IsCompl c'.extent c'.intent
Defined in
Mathlib.Order.Concept
Cited by
2 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
IsStrictTotalOrder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Concept.compl_extent · cited by 0Concept.compl_extentConcept.compl_intent · cited by 0Concept.compl_intentSet · cited by 53352SetIsCompl · cited by 351IsComplConcept · cited by 78ConceptConcept.extent · cited by 52Concept.extentConcept.intent · cited by 51Concept.intentIsStrictTotalOrder · cited by 10IsStrictTotalOrderConcept.codisjoint_extent_intent · cited by 1Concept.codisjoint_extent…Concept.disjoint_extent_intent · cited by 1Concept.disjoint_extent_i…Concept.isCompl_extent_intentCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.