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Theorems · Inductive type · category theory

CategoryTheory.Limits.HasReflexiveCoequalizers

(C : Type u) → [CategoryTheory.Category.{v, u} C] → Prop

C has reflexive coequalizers if it has coequalizers for every reflexive pair.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.Reflexive
Cited by
9 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
CategoryTheory.Category

Around this declaration

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

CategoryTheory.LiftLeftAdjoint.constructLeftAdjointEquiv · cited by 3LiftLeftAdjoint.construct…CategoryTheory.LiftLeftAdjoint.constructLeftAdjointObj · cited by 3LiftLeftAdjoint.construct…CategoryTheory.LiftLeftAdjoint.constructLeftAdjoint · cited by 1LiftLeftAdjoint.construct…CategoryTheory.isRightAdjoint_triangle_lift · cited by 1CategoryTheory.isRightAdj…CategoryTheory.isRightAdjoint_triangle_lift_monadic · cited by 1CategoryTheory.isRightAdj…CategoryTheory.Limits.hasCoequalizer_of_common_section · cited by 0Limits.hasCoequalizer_of_…CategoryTheory.Limits.hasReflexiveCoequalizers_iff · cited by 0Limits.hasReflexiveCoequa…CategoryTheory.Monad.monadicOfHasPreservesReflexiveCoequalizersOfReflectsIsomorphisms · cited by 0Monad.monadicOfHasPreserv…CategoryTheory.LiftLeftAdjoint.constructLeftAdjointEquiv_apply · cited by 0LiftLeftAdjoint.construct…CategoryTheory.LiftLeftAdjoint.constructLeftAdjointEquiv_symm_apply · cited by 0LiftLeftAdjoint.construct…CategoryTheory.isRightAdjoint_square_lift · cited by 0CategoryTheory.isRightAdj…CategoryTheory.isRightAdjoint_square_lift_monadic · cited by 0CategoryTheory.isRightAdj…CategoryTheory.Limits.HasReflexiveCoequalizers.casesOn · cited by 0HasReflexiveCoequalizers.…CategoryTheory.LiftLeftAdjoint.constructLeftAdjointObj.congr_simp · cited by 0constructLeftAdjointObj.c…CategoryTheory.Limits.HasReflexiveCoequalizers.recOn · cited by 0HasReflexiveCoequalizers.…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryLimits.HasReflexiveCoequalize…CITED BYCITES

Cites1

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Cited by15

Results whose statement or proof uses this declaration.