Theorems · Theorem · number theory
QuadraticMap.sq_apply
∀ {R : Type u_3} {A : Type u_7} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
[inst_3 : SMulCommClass R A A] [inst_4 : IsScalarTower R A A] (a : A), QuadraticMap.sq a = a * a- Cited by
- 3 results in Mathlib
- Foundations
- Depth 43 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.
- DFunLike.coestatement and proof · cited by 62,936
- 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
- QuadraticMapstatement · cited by 262
- QuadraticMap.sqstatement and proof · cited by 24
Cited by3
Results whose statement or proof uses this declaration.
- CliffordAlgebra.EquivEven.e0_mul_e0proof · cited by 2
- QuadraticForm.comp_tensorLId_eqproof · cited by 1
- CliffordAlgebra.EquivEven.v_sq_scalarproof · cited by 0