Theorems · Definition · number theory
QuadraticMap.Isometry.id
{R : Type u_1} →
{M : Type u_2} →
{N : Type u_7} →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid M] →
[inst_2 : AddCommMonoid N] →
[inst_3 : Module R M] → [inst_4 : Module R N] → (Q : QuadraticMap R M N) → Q →qᵢ QThe identity isometry from a quadratic form to itself.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 39 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
- RingHom.idproof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapproof · cited by 10,215
- LinearMap.idproof · cited by 625
- QuadraticMapstatement and proof · cited by 262
- QuadraticMap.Isometrystatement · cited by 69
Cited by11
Results whose statement or proof uses this declaration.
- CliffordAlgebra.map_idstatement and proof · cited by 3
- CliffordAlgebra.leftInverse_map_of_leftInverseproof · cited by 1
- QuadraticMap.Isometry.ofEq_rflstatement · cited by 0
- QuadraticMap.Isometry.comp_idstatement · cited by 0
- QuadraticMap.Isometry.fst_comp_inlstatement · cited by 0
- QuadraticMap.Isometry.snd_comp_inrstatement · cited by 0
- QuadraticMap.Isometry.id_applystatement and proof · cited by 0
- QuadraticMap.Isometry.id_compstatement · cited by 0
- QuadraticModuleCat.toIsometry_idstatement · cited by 0
- QuadraticModuleCat.toIsometry_whiskerLeftstatement · cited by 0
- QuadraticModuleCat.toIsometry_whiskerRightstatement · cited by 0