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Theorems · Theorem · number theory

QuadraticMap.toFun_smul

∀ {R : Type u} {M : Type v} {N : Type w} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [inst_3 : AddCommMonoid N] [inst_4 : Module R N] (self : QuadraticMap R M N) (a : R) (x : M),
  self.toFun (a • x) = (a * a) • self.toFun x
Defined in
Mathlib.LinearAlgebra.QuadraticForm.Basic
Cited by
1 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
CommSemiringAddCommMonoidModuleAddCommMonoidModule
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Around this declaration

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QuadraticMap.map_smul · cited by 11QuadraticMap.map_smulModule · cited by 20661ModuleAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringQuadraticMap · cited by 262QuadraticMapQuadraticMap.toFun · cited by 3QuadraticMap.toFunQuadraticMap.toFun_smulCITED BYCITES

Cites5

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Cited by1

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