Theorems · Theorem · number theory
QuadraticMap.Equivalent.sigNeg_eq
∀ {R : Type u_1} {M : Type u_2} {M' : Type u_3} [inst : AddCommGroup M] [inst_1 : AddCommGroup M'] [inst_2 : CommRing R]
[inst_3 : LinearOrder R] [inst_4 : Module R M] {Q : QuadraticForm R M} [inst_5 : Module R M']
{Q' : QuadraticForm R M'}, QuadraticMap.Equivalent Q Q' → sigNeg Q = sigNeg Q'- Cited by
- 2 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- QuadraticFormstatement and proof · cited by 507
- neg_applyproof · cited by 96
- QuadraticMap.IsometryEquivproof · cited by 49
- QuadraticMap.IsometryEquiv.toLinearEquivproof · cited by 24
- QuadraticMap.Equivalentstatement and proof · cited by 22
- sigNegstatement · cited by 9
- QuadraticMap.IsometryEquiv.map_appproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- QuadraticForm.sigPos_add_sigNeg_add_radicalproof · cited by 0
- QuadraticForm.sigNeg_of_equiv_weightedSumSquaresproof · cited by 0