Theorems · Theorem · nonassociative algebras
LieModuleEquiv.symm_bijective
∀ {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.Bijective LieModuleEquiv.symm- Defined in
- Mathlib.Algebra.Lie.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
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- 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
- Function.Bijectivestatement · cited by 863
- LieRingModulestatement and proof · cited by 727
- Function.bijective_iff_has_inverseproof · cited by 50
- LieModuleEquivstatement · cited by 40
- LieModuleEquiv.symmstatement and proof · cited by 12
- LieModuleEquiv.symm_symmproof · cited by 1
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