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Theorems · Theorem · number theory

QuadraticMap.map_neg

∀ {R : Type u_3} {M : Type u_4} {N : Type u_5} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : AddCommGroup N]
  [inst_3 : Module R M] [inst_4 : Module R N] (Q : QuadraticMap R M N) (x : M), Q (-x) = Q x
Defined in
Mathlib.LinearAlgebra.QuadraticForm.Basic
Cited by
1 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Quot.sound
Assumes
CommRingAddCommGroupAddCommGroupModuleModule
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

QuadraticMap.map_sub · cited by 0QuadraticMap.map_subDFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleCommRing · cited by 17173CommRingAddCommGroup · cited by 12871AddCommGroupone_smul · cited by 1374one_smulneg_neg · cited by 960neg_negQuadraticMap · cited by 262QuadraticMapneg_one_mul · cited by 61neg_one_mulneg_one_smul · cited by 23neg_one_smulQuadraticMap.map_smul · cited by 11QuadraticMap.map_smulQuadraticMap.map_negCITED BYCITES

Cites10

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Cited by1

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