Theorems · Theorem · nonassociative algebras
LieModuleEquiv.surjective
∀ {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 : AddCommGroup N] [inst_4 : Module R M] [inst_5 : Module R N]
[inst_6 : LieRingModule L M] [inst_7 : LieRingModule L N] (e : M ≃ₗ⁅R,L⁆ N), Function.Surjective ⇑e- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Equiv.surjectiveproof · cited by 198
- LieModuleEquivstatement and proof · cited by 40
- LieModuleEquiv.toEquivproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- LieModuleEquiv.range_coeproof · cited by 1