Theorems · Theorem · nonassociative algebras
LieModuleEquiv.symm_trans_self
∀ {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), e.symm.trans e = LieModuleEquiv.refl- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
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Cites11
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
- LieModuleEquivstatement and proof · cited by 40
- LieModuleEquiv.symmstatement and proof · cited by 12
- LieModuleEquiv.extproof · cited by 4
- LieModuleEquiv.reflstatement and proof · cited by 4
- LieModuleEquiv.transstatement and proof · cited by 4
- LieModuleEquiv.apply_symm_applyproof · cited by 2
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