Theorems · Theorem · nonassociative algebras
LieModuleEquiv.toEquiv_injective
∀ {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], Function.Injective LieModuleEquiv.toEquiv- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapproof · cited by 10,215
- Equivstatement · cited by 8,337
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- Bracket.bracketproof · cited by 642
- AddHomproof · cited by 294
- AddHom.toFunproof · cited by 168
Cited by1
Results whose statement or proof uses this declaration.
- LieModuleEquiv.extproof · cited by 4