Theorems · Inductive type · category theory

CategoryTheory.Limits.HasWeakLimit

{J : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} J] →
    {C : Type u_3} → [inst_1 : CategoryTheory.Category.{v_3, u_3} C] → CategoryTheory.Functor J C → Prop

HasWeakLimit F represents the mere existence of a weak limit for F.

Defined in: Mathlib.CategoryTheory.Limits.WeakLimits.Basic
Cited by: 17 results in Mathlib
Foundations: Depth 2 from the axioms · uses no axioms
Assumes: CategoryTheory.Category CategoryTheory.Category

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

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement · cited by 32,673
CategoryTheory.Functorstatement · cited by 16,252

Cited by30

Results whose statement or proof uses this declaration.

CategoryTheory.Limits.HasWeakEqualizerproof · cited by 10
CategoryTheory.Limits.weakLimit.conestatement and proof · cited by 10
CategoryTheory.Limits.HasWeakKernelproof · cited by 8
CategoryTheory.Limits.HasWeakPullbackproof · cited by 8
CategoryTheory.Limits.weakLimitstatement and proof · cited by 7
CategoryTheory.Limits.weakLimit.πstatement and proof · cited by 7
CategoryTheory.Limits.weakLimit.lift_πstatement and proof · cited by 5
CategoryTheory.Limits.weakLimit.isWeakLimitstatement and proof · cited by 4
CategoryTheory.Limits.HasWeakLimit.mkstatement · cited by 4
CategoryTheory.Limits.weakLimit.liftstatement and proof · cited by 3
CategoryTheory.Limits.hasWeakLimit_of_isostatement and proof · cited by 3
CategoryTheory.Limits.weakLimit.lift_π_assocstatement and proof · cited by 1