Theorems · Theorem · nonassociative algebras
LieModuleHom.comp_ker_incl
∀ {R : Type u} {L : Type v} {M : Type w} {N : Type w₁} [inst : CommRing R] [inst_1 : LieRing L]
[inst_2 : AddCommGroup M] [inst_3 : Module R M] [inst_4 : LieRingModule L M] [inst_5 : AddCommGroup N]
[inst_6 : Module R N] [inst_7 : LieRingModule L N] {f : M →ₗ⁅R,L⁆ N}, f.comp f.ker.incl = 0- Defined in
- Mathlib.Algebra.Lie.Submodule
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 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
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- LieSubmodulestatement · cited by 489
- LieModuleHomstatement and proof · cited by 123
- LieSubmodule.inclstatement · cited by 29
- LieModuleHom.compstatement · cited by 10
- LieModuleHom.kerstatement and proof · cited by 10
- LieModuleHom.extproof · cited by 3
- LieModuleHom.mem_kerproof · cited by 1
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