Theorems · Theorem · ring theory
CliffordAlgebra.changeForm.zero_proof
∀ {R : Type u1} [inst : CommRing R] {M : Type u2} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
{Q : QuadraticForm R M}, LinearMap.BilinMap.toQuadraticMap 0 = Q - QAuxiliary lemma used as an argument to CliffordAlgebra.changeForm
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- sub_selfproof · cited by 996
- QuadraticFormstatement and proof · cited by 507
- LinearMap.BilinFormstatement · cited by 501
- QuadraticMapstatement · cited by 262
- LinearMap.BilinMap.toQuadraticMapstatement · cited by 53
Cited by2
Results whose statement or proof uses this declaration.
- CliffordAlgebra.changeForm_self_applystatement and proof · cited by 1
- CliffordAlgebra.changeForm_selfstatement · cited by 0