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Theorems · Theorem · number theory

QuadraticMap.polar_comm

∀ {M : Type u_4} {N : Type u_5} [inst : AddCommGroup M] [inst_1 : AddCommGroup N] (f : M → N) (x y : M),
  QuadraticMap.polar f x y = QuadraticMap.polar f y x
Defined in
Mathlib.LinearAlgebra.QuadraticForm.Basic
Cited by
3 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
AddCommGroupAddCommGroup
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Around this declaration

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

QuadraticMap.polarSym2 · cited by 11QuadraticMap.polarSym2QuadraticMap.polar_smul_right · cited by 5QuadraticMap.polar_smul_r…QuadraticMap.polar_add_right · cited by 1QuadraticMap.polar_add_ri…QuadraticMap.nondegenerate_polar_iff · cited by 0QuadraticMap.nondegenerat…AddCommGroup · cited by 12871AddCommGroupadd_comm · cited by 1535add_commsub_sub · cited by 54sub_subQuadraticMap.polar · cited by 50QuadraticMap.polarQuadraticMap.polar_commCITED BYCITES

Cites4

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Cited by4

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