Theorems · Theorem · nonassociative algebras
LieSubmodule.ucs_bot_one
∀ {R : Type u} {L : Type v} {M : Type w} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
[inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : LieRingModule L M] [inst_6 : LieModule R L M],
LieSubmodule.ucs 1 ⊥ = LieModule.maxTrivSubmodule R L M- Defined in
- Mathlib.Algebra.Lie.Nilpotent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Bot.botstatement and proof · cited by 4,720
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieRingModulestatement and proof · cited by 727
- LieSubmodulestatement · cited by 489
- LieModulestatement and proof · cited by 424
- LieModule.maxTrivSubmodulestatement and proof · cited by 25
- LieSubmodule.ucsstatement · cited by 21
- LieSubmodule.ucs_succproof · cited by 9
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