Theorems · Theorem · number theory

QuadraticMap.Equivalent.trans

∀ {R : Type u_2} {M₁ : Type u_5} {M₂ : Type u_6} {M₃ : Type u_7} {N : Type u_9} [inst : CommSemiring R]
  [inst_1 : AddCommMonoid M₁] [inst_2 : AddCommMonoid M₂] [inst_3 : AddCommMonoid M₃] [inst_4 : AddCommMonoid N]
  [inst_5 : Module R M₁] [inst_6 : Module R M₂] [inst_7 : Module R M₃] [inst_8 : Module R N] {Q₁ : QuadraticMap R M₁ N}
  {Q₂ : QuadraticMap R M₂ N} {Q₃ : QuadraticMap R M₃ N}, Q₁.Equivalent Q₂ → Q₂.Equivalent Q₃ → Q₁.Equivalent Q₃

Defined in

Mathlib.LinearAlgebra.QuadraticForm.IsometryEquiv

Cited by

1 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModuleModule