Theorems · Theorem · category theory
SemiNormedGrp.explicitCokernelDesc_norm_le_of_norm_le
∀ {X Y Z : SemiNormedGrp} {f : X ⟶ Y} {g : Y ⟶ Z} (w : CategoryTheory.CategoryStruct.comp f g = 0) (c : NNReal),
‖g‖ ≤ ↑c → ‖SemiNormedGrp.explicitCokernelDesc w‖ ≤ ↑c- Cited by
- 2 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Realstatement · cited by 25,697
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- Norm.normstatement and proof · cited by 5,413
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement and proof · cited by 1,260
- CategoryTheory.Limits.Cofork.πproof · cited by 164
- SemiNormedGrpstatement and proof · cited by 66
- CategoryTheory.Limits.Cofork.ofπproof · cited by 56
- SemiNormedGrp.Hom.homproof · cited by 24
- SemiNormedGrp.explicitCokernelstatement · cited by 23
- SemiNormedGrp.explicitCokernelDescstatement · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- SemiNormedGrp.explicitCokernelDesc_normNonincproof · cited by 0
- SemiNormedGrp.explicitCokernelDesc_norm_leproof · cited by 0