Theorems · Theorem · nonassociative algebras
zsmul_lie
∀ {L : Type v} {M : Type w} [inst : LieRing L] [inst_1 : AddCommGroup M] [inst_2 : LieRingModule L M] (x : L) (m : M)
(a : ℤ), ⁅a • x, m⁆ = a • ⁅x, m⁆- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- Bracket.bracketstatement and proof · cited by 642
- add_lieproof · cited by 20
- zero_lieproof · cited by 16
- AddMonoidHom.map_zsmulproof · cited by 10
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