Theorems · Theorem · number theory
QuadraticForm.equivalent_weightedSumSquares
∀ {K : Type u_3} {V : Type u_8} [inst : Field K] [Invertible 2] [inst_2 : AddCommGroup V] [inst_3 : Module K V]
[FiniteDimensional K V] (Q : QuadraticForm K V), ∃ w, QuadraticMap.Equivalent Q (QuadraticMap.weightedSumSquares K w)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Fieldstatement and proof · cited by 7,404
- FiniteDimensionalstatement and proof · cited by 1,854
- Module.finrankstatement and proof · cited by 1,770
- Module.Basisproof · cited by 1,477
- Invertiblestatement and proof · cited by 549
- QuadraticFormstatement and proof · cited by 507
- QuadraticMap.associatedHomproof · cited by 29
- QuadraticMap.Equivalentstatement and proof · cited by 22
- QuadraticMap.weightedSumSquaresstatement and proof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- QuadraticForm.equivalent_signType_weighted_sum_squaredproof · cited by 1
- QuadraticForm.sigPos_add_sigNeg_add_radicalproof · cited by 0