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Theorems · Definition · category theory

CategoryTheory.Dial.rel

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasFiniteProducts C] →
      (self : CategoryTheory.Dial C) → CategoryTheory.Subobject (self.src ⨯ self.tgt)

A subobject of src ⨯ tgt, interpreted as a relation

Defined in
Mathlib.CategoryTheory.Dialectica.Basic
Cited by
15 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasFiniteProducts
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Around this declaration

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

CategoryTheory.Dial.tensorObjImpl · cited by 35Dial.tensorObjImplCategoryTheory.Dial.isoMk · cited by 4Dial.isoMkCategoryTheory.Dial.Hom.ext · cited by 2Hom.extCategoryTheory.Dial.Hom.le · cited by 1Hom.leCategoryTheory.Dial.Hom.mk.inj · cited by 1mk.injCategoryTheory.Dial.Hom.mk.noConfusion · cited by 1mk.noConfusionCategoryTheory.Dial.tensorUnit_rel · cited by 0Dial.tensorUnit_relCategoryTheory.Dial.Hom.casesOn · cited by 0Hom.casesOnCategoryTheory.Dial.Hom.noConfusion · cited by 0Hom.noConfusionCategoryTheory.Dial.Hom.noConfusionType · cited by 0Hom.noConfusionTypeCategoryTheory.Dial.Hom.recOn · cited by 0Hom.recOnCategoryTheory.Dial.Hom.mk.congr_simp · cited by 0mk.congr_simpCategoryTheory.Dial.Hom.mk.injEq · cited by 0mk.injEqCategoryTheory.Dial.Hom.mk.sizeOf_spec · cited by 0mk.sizeOf_specCategoryTheory.Dial.comp_le_lemma · cited by 0Dial.comp_le_lemmaCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCategoryTheory.Limits.WalkingPair · cited by 1319Limits.WalkingPairCategoryTheory.Limits.pair · cited by 536Limits.pairCategoryTheory.Subobject · cited by 385CategoryTheory.SubobjectCategoryTheory.Limits.prod · cited by 364Limits.prodCategoryTheory.Limits.HasFiniteProducts · cited by 142Limits.HasFiniteProductsCategoryTheory.Dial · cited by 80CategoryTheory.DialCategoryTheory.Dial.src · cited by 71Dial.srcCategoryTheory.Dial.tgt · cited by 51Dial.tgtDial.relCITED BYCITES

Cites10

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Cited by22

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