Theorems · Theorem · nonassociative algebras
LieSubmodule.injective_incl
∀ {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), Function.Injective ⇑N.incl- Defined in
- Mathlib.Algebra.Lie.Submodule
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
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.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- LieSubmodulestatement and proof · cited by 489
- Subtype.coe_injectiveproof · cited by 205
- LieModuleHomstatement · cited by 123
- LieSubmodule.inclstatement · cited by 29
Cited by3
Results whose statement or proof uses this declaration.
- LieSubmodule.ker_inclproof · cited by 3
- LieModule.isCompl_genWeightSpace_zero_posFittingCompproof · cited by 1
- LieModule.genWeightSpace_genWeightSpaceOf_map_inclproof · cited by 0