Theorems · Theorem · number theory
QuadraticMap.Isometry.inl_apply
∀ {R : Type u_2} {M₁ : Type u_3} {M₂ : Type u_4} {P : Type u_7} [inst : CommSemiring R] [inst_1 : AddCommMonoid M₁]
[inst_2 : AddCommMonoid M₂] [inst_3 : AddCommMonoid P] [inst_4 : Module R M₁] [inst_5 : Module R M₂]
[inst_6 : Module R P] (Q₁ : QuadraticMap R M₁ P) (Q₂ : QuadraticMap R M₂ P) (i : M₁),
(QuadraticMap.Isometry.inl Q₁ Q₂) i = (i, 0)- Defined in
- Mathlib.LinearAlgebra.QuadraticForm.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 46 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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- QuadraticMapstatement and proof · cited by 262
- QuadraticMap.Isometrystatement · cited by 69
- QuadraticMap.prodstatement · cited by 37
- QuadraticMap.Isometry.inlstatement and proof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CliffordAlgebra.toProd_ι_tmul_oneproof · cited by 2