Theorems · Theorem · category theory

CategoryTheory.Limits.HasWeakLimit.mk

∀ {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] {F : CategoryTheory.Functor J C}
  (d : CategoryTheory.Limits.WeakLimitCone F), CategoryTheory.Limits.HasWeakLimit F

Defined in: Mathlib.CategoryTheory.Limits.WeakLimits.Basic
Cited by: 4 results in Mathlib
Foundations: Depth 4 from the axioms · uses no axioms
Assumes: CategoryTheory.Category CategoryTheory.Category

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Cites4

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

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Limits.HasWeakLimitstatement · cited by 17
CategoryTheory.Limits.WeakLimitConestatement and proof · cited by 5

Cited by4

Results whose statement or proof uses this declaration.

CategoryTheory.Limits.hasWeakLimit_of_isoproof · cited by 3
CategoryTheory.Preadditive.hasWeakEqualizer_of_hasWeakKernelproof · cited by 1
CategoryTheory.Limits.hasWeakLimit_cospan_of_hasLimit_pair_of_hasWeakLimit_parallelPairproof · cited by 0
CategoryTheory.Preadditive.hasWeakKernel_of_hasWeakEqualizerproof · cited by 0