Theorems · Theorem · number theory

QuadraticMap.Equivalent.pi

∀ {ι : Type u_1} {R : Type u_2} {P : Type u_7} {Mᵢ : ι → Type u_8} {Nᵢ : ι → Type u_9} [inst : CommSemiring R]
  [inst_1 : (i : ι) → AddCommMonoid (Mᵢ i)] [inst_2 : (i : ι) → AddCommMonoid (Nᵢ i)] [inst_3 : AddCommMonoid P]
  [inst_4 : (i : ι) → Module R (Mᵢ i)] [inst_5 : (i : ι) → Module R (Nᵢ i)] [inst_6 : Module R P] [inst_7 : Fintype ι]
  {Q : (i : ι) → QuadraticMap R (Mᵢ i) P} {Q' : (i : ι) → QuadraticMap R (Nᵢ i) P},
  (∀ (i : ι), (Q i).Equivalent (Q' i)) → (QuadraticMap.pi Q).Equivalent (QuadraticMap.pi Q')

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Prod

Cited by

0 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModuleFintype