Theorems · Theorem · number theory

QuadraticMap.exists_companion

∀ {R : Type u_3} {M : Type u_4} {N : Type u_5} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [inst_3 : AddCommMonoid N] [inst_4 : Module R N] (Q : QuadraticMap R M N),
  ∃ B, ∀ (x y : M), Q (x + y) = Q x + Q y + (B x) y

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basic

Cited by

3 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModule