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Theorems · Theorem · nonassociative algebras

LieSubmodule.coe_neg

∀ {R : Type u} {L : Type v} {M : Type w} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : AddCommGroup M]
  [inst_3 : Module R M] [inst_4 : LieRingModule L M] (N : LieSubmodule R L M) (m : ↥N), ↑(-m) = -↑m
Defined in
Mathlib.Algebra.Lie.Submodule
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext
Assumes
CommRingLieRingAddCommGroupModuleLieRingModule
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Around this declaration

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

LieSubmodule.lie_comm · cited by 1LieSubmodule.lie_commModule · cited by 20661ModuleCommRing · cited by 17173CommRingAddCommGroup · cited by 12871AddCommGroupLieRing · cited by 1548LieRingLieRingModule · cited by 727LieRingModuleLieSubmodule · cited by 489LieSubmoduleLieSubmodule.coe_negCITED BYCITES

Cites6

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Cited by1

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