Theorems · Inductive type · number theory
QuadraticMap
(R : Type u) →
(M : Type v) →
(N : Type w) →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid M] → [Module R M] → [inst_3 : AddCommMonoid N] → [Module R N] → Type (max v w)A quadratic map on a module.
For a more familiar constructor when R is a ring, see QuadraticMap.ofPolar.
- Cited by
- 262 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 6 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement · cited by 20,661
- AddCommMonoidstatement · cited by 12,281
- CommSemiringstatement · cited by 10,911
Cited by345
Results whose statement or proof uses this declaration.
- QuadraticFormproof · cited by 507
- QuadraticMap.Isometrystatement · cited by 69
- LinearMap.BilinMap.toQuadraticMapstatement · cited by 53
- QuadraticMap.IsometryEquivstatement · cited by 49
- QuadraticMap.prodstatement and proof · cited by 37
- QuadraticMap.associatedstatement · cited by 34
- QuadraticMap.PosDefstatement and proof · cited by 31
- QuadraticMap.associatedHomstatement and proof · cited by 29
- QuadraticMap.IsOrthostatement and proof · cited by 25
- QuadraticMap.polarBilinstatement and proof · cited by 25
- QuadraticMap.IsometryEquiv.toLinearEquivstatement and proof · cited by 24
- QuadraticMap.sqstatement · cited by 24
Showing the 200 most cited of 345.