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Theorems · Theorem · number theory

QuadraticMap.map_add

∀ {M : Type u_4} {N : Type u_5} [inst : AddCommGroup M] [inst_1 : AddCommGroup N] (f : M → N) (x y : M),
  f (x + y) = f x + f y + QuadraticMap.polar f x y
Defined in
Mathlib.LinearAlgebra.QuadraticForm.Basic
Cited by
3 results in Mathlib
Foundations
Depth 39 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.map_sum · cited by 2QuadraticMap.map_sumQuadraticMap.hasLineDerivAt · cited by 2QuadraticMap.hasLineDeriv…QuadraticMap.map_sum' · cited by 1QuadraticMap.map_sum'AddCommGroup · cited by 12871AddCommGroupQuadraticMap.polar · cited by 50QuadraticMap.polarQuadraticMap.map_addCITED BYCITES

Cites2

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Cited by3

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