Theorems · Theorem · nonassociative algebras
LieSubmodule.coe_toSubmodule
∀ {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), ↑↑N = ↑N- Defined in
- Mathlib.Algebra.Lie.Submodule
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- SetLike.coestatement · cited by 8,199
- Submodulestatement · cited by 7,192
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- LieSubmodulestatement and proof · cited by 489
- LieSubmodule.toSubmodulestatement · cited by 150
Cited by5
Results whose statement or proof uses this declaration.
- LieSubmodule.coe_lieSpan_submodule_eq_iffproof · cited by 3
- LieSubmodule.coe_sInfproof · cited by 2
- LieModule.coe_lowerCentralSeries_eq_intproof · cited by 2
- LieIdeal.coe_derivedSeries_eq_intproof · cited by 1
- LieIdeal.map_toSubmoduleproof · cited by 1