Theorems · Theorem · category theory
QuadraticModuleCat.ofIso_inv
∀ {R : Type u} [inst : CommRing R] {X Y : Type v} [inst_1 : AddCommGroup X] [inst_2 : Module R X]
[inst_3 : AddCommGroup Y] [inst_4 : Module R Y] {Q₁ : QuadraticForm R X} {Q₂ : QuadraticForm R Y}
(e : QuadraticMap.IsometryEquiv Q₁ Q₂), (QuadraticModuleCat.ofIso e).inv = QuadraticModuleCat.ofHom e.symm.toIsometry- Cited by
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- Foundations
- Depth 53 from the axioms · uses propext, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- QuadraticFormstatement and proof · cited by 507
- QuadraticMap.IsometryEquivstatement and proof · cited by 49
- QuadraticModuleCatstatement · cited by 40
- QuadraticMap.IsometryEquiv.symmstatement · cited by 18
- QuadraticMap.IsometryEquiv.toIsometrystatement · cited by 11
- QuadraticModuleCat.ofstatement · cited by 5
- QuadraticModuleCat.ofIsostatement and proof · cited by 5
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