Theorems · Definition · number theory

QuadraticMap.IsometryEquiv.toLinearEquiv

{R : Type u_2} →
  {M₁ : Type u_5} →
    {M₂ : Type u_6} →
      {N : Type u_9} →
        [inst : CommSemiring R] →
          [inst_1 : AddCommMonoid M₁] →
            [inst_2 : AddCommMonoid M₂] →
              [inst_3 : AddCommMonoid N] →
                [inst_4 : Module R M₁] →
                  [inst_5 : Module R M₂] →
                    [inst_6 : Module R N] →
                      {Q₁ : QuadraticMap R M₁ N} → {Q₂ : QuadraticMap R M₂ N} → Q₁.IsometryEquiv Q₂ → M₁ ≃ₗ[R] M₂

Defined in

Mathlib.LinearAlgebra.QuadraticForm.IsometryEquiv

Cited by

24 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModule