Theorems · Theorem · nonassociative algebras
LieModuleHom.toSubmodule_range
∀ {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.range = (↑f).range- Defined in
- Mathlib.Algebra.Lie.Submodule
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Submodulestatement · cited by 7,192
- LieRingstatement and proof · cited by 1,548
- LinearMap.rangestatement · cited by 893
- LieRingModulestatement and proof · cited by 727
- LieSubmodule.toSubmodulestatement · cited by 150
- LieModuleHomstatement and proof · cited by 123
- LieModuleHom.toLinearMapstatement · cited by 36
- LieModuleHom.rangestatement · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- LieSubmodule.lieIdeal_oper_eq_tensor_map_rangeproof · cited by 0