Theorems · Theorem · number theory
QuadraticForm.equivalent_sum_squares
Deprecated since 2026-01-19Mathlib marks this declaration as deprecated.
∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : Module ℂ M] [FiniteDimensional ℂ M] (Q : QuadraticForm ℂ M),
LinearMap.SeparatingLeft (QuadraticMap.associated Q) → QuadraticMap.Equivalent Q (QuadraticMap.weightedSumSquares ℂ 1)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 296 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Complexstatement and proof · cited by 5,565
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement · cited by 1,770
- QuadraticFormstatement and proof · cited by 507
- QuadraticMapstatement · cited by 262
- LinearMap.BilinMapstatement · cited by 85
- LinearMap.SeparatingLeftstatement and proof · cited by 47
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