Theorems · Theorem · category theory

CategoryTheory.Limits.IsFiltered.sequentialFunctor_map

∀ (J : Type u_2) [inst : Countable J] [inst_1 : Preorder J] [inst_2 : CategoryTheory.IsFiltered J],
  Monotone (CategoryTheory.Limits.IsFiltered.sequentialFunctor_obj J)

Defined in: Mathlib.CategoryTheory.Limits.Shapes.Countable
Cited by: 0 results in Mathlib
Foundations: Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Countable Preorder CategoryTheory.IsFiltered

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Preorderstatement and proof · cited by 7,952
Monotonestatement · cited by 1,397
Countablestatement and proof · cited by 633
CategoryTheory.IsFilteredstatement and proof · cited by 210
monotone_nat_of_le_succproof · cited by 45
CategoryTheory.leOfHomproof · cited by 32
exists_surjective_natproof · cited by 10
CategoryTheory.IsFilteredOrEmpty.cocone_objsproof · cited by 4
CategoryTheory.Limits.IsFiltered.sequentialFunctor_objstatement and proof · cited by 3

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