Theorems · Theorem · nonassociative algebras
LieSubmodule.span_empty
∀ (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], LieSubmodule.lieSpan R L ∅ = ⊥
- Defined in
- Mathlib.Algebra.Lie.Submodule
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Bot.botstatement · cited by 4,720
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- LieSubmodulestatement · cited by 489
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_botproof · cited by 63
- LieSubmodule.lieSpanstatement · cited by 22
- LieSubmodule.giproof · cited by 3
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