Theorems · Theorem · number theory

QuadraticMap.map_add_self

∀ {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) (x : M), Q (x + x) = 4 • Q x

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basic

Cited by

2 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModule