Theorems · Definition · number theory
QuadraticMap.sq
{R : Type u_3} →
{A : Type u_7} →
[inst : CommSemiring R] →
[inst_1 : NonUnitalNonAssocSemiring A] →
[inst_2 : Module R A] → [SMulCommClass R A A] → [IsScalarTower R A A] → QuadraticMap R A Asq is the quadratic map sending the vector x : A to x * x
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- LinearMap.idproof · cited by 625
- QuadraticMapstatement · cited by 262
- QuadraticMap.linMulLinproof · cited by 7
Cited by30
Results whose statement or proof uses this declaration.
- QuadraticForm.baseChangeproof · cited by 17
- CliffordAlgebra.EquivEven.Q'proof · cited by 16
- CliffordAlgebraQuaternion.Qproof · cited by 14
- CliffordAlgebraComplex.Qproof · cited by 13
- QuadraticForm.tensorLIdstatement · cited by 5
- QuadraticForm.tensorRIdstatement · cited by 5
- CliffordAlgebra.EquivEven.neg_e0_mul_vproof · cited by 3
- QuadraticMap.associated_sqstatement · cited by 3
- QuadraticMap.sq_applystatement and proof · cited by 3
- CliffordAlgebra.EquivEven.e0_mul_e0proof · cited by 2
- QuadraticForm.comp_tensorLId_eqstatement and proof · cited by 1
- QuadraticForm.comp_tensorRId_eqstatement and proof · cited by 1