Theorems · Theorem · category theory
CategoryTheory.Retract.injectiveDimension_le
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C] {X Y : C}
(h : CategoryTheory.Retract X Y), CategoryTheory.injectiveDimension X ≤ CategoryTheory.injectiveDimension Y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- ENatstatement and proof · cited by 4,985
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- WithBotstatement and proof · cited by 1,498
- Set.insert_eq_of_memproof · cited by 118
- CategoryTheory.Retractstatement and proof · cited by 34
- CategoryTheory.HasInjectiveDimensionLTproof · cited by 23
- CategoryTheory.injectiveDimensionstatement · cited by 12
- sInf_le_sInf_of_subset_insert_topproof · cited by 4
- CategoryTheory.Retract.hasInjectiveDimensionLTproof · cited by 2
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