Theorems · Theorem · category theory
QuadraticModuleCat.ofIso_trans
∀ {R : Type u} [inst : CommRing R] {X Y Z : Type v} [inst_1 : AddCommGroup X] [inst_2 : Module R X]
[inst_3 : AddCommGroup Y] [inst_4 : Module R Y] [inst_5 : AddCommGroup Z] [inst_6 : Module R Z]
{Q₁ : QuadraticForm R X} {Q₂ : QuadraticForm R Y} {Q₃ : QuadraticForm R Z} (e : QuadraticMap.IsometryEquiv Q₁ Q₂)
(f : QuadraticMap.IsometryEquiv Q₂ Q₃),
QuadraticModuleCat.ofIso (e.trans f) = QuadraticModuleCat.ofIso e ≪≫ QuadraticModuleCat.ofIso f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Iso.transstatement · cited by 566
- QuadraticFormstatement and proof · cited by 507
- QuadraticMap.IsometryEquivstatement and proof · cited by 49
- QuadraticModuleCatstatement · cited by 40
- QuadraticMap.IsometryEquiv.transstatement · cited by 7
- QuadraticModuleCat.ofstatement · cited by 5
- QuadraticModuleCat.ofIsostatement · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.