Theorems · Theorem · ring theory
CliffordAlgebra.changeForm.congr_simp
∀ {R : Type u1} [inst : CommRing R] {M : Type u2} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
{Q Q' : QuadraticForm R M} {B B_1 : LinearMap.BilinForm R M} (e_B : B = B_1)
(h : LinearMap.BilinMap.toQuadraticMap B = Q' - Q), CliffordAlgebra.changeForm h = CliffordAlgebra.changeForm ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
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Cites11
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- 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
- QuadraticFormstatement and proof · cited by 507
- LinearMap.BilinFormstatement and proof · cited by 501
- CliffordAlgebrastatement · cited by 309
- QuadraticMapstatement · cited by 262
- LinearMap.BilinMap.toQuadraticMapstatement and proof · cited by 53
- CliffordAlgebra.changeFormstatement and proof · cited by 12
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