Theorems · Theorem · nonassociative algebras
LieModule.toLinearMap_maxTrivLinearMapEquivLieModuleHom
∀ {R : Type u} {L : Type v} {M : Type w} {N : Type w₁} [inst : CommRing R] [inst_1 : LieRing L]
[inst_2 : LieAlgebra R L] [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : LieRingModule L M]
[inst_6 : LieModule R L M] [inst_7 : AddCommGroup N] [inst_8 : Module R N] [inst_9 : LieRingModule L N]
[inst_10 : LieModule R L N] (f : ↥(LieModule.maxTrivSubmodule R L (M →ₗ[R] N))),
↑(LieModule.maxTrivLinearMapEquivLieModuleHom f) = ↑f- Defined in
- Mathlib.Algebra.Lie.Abelian
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- LinearEquivstatement · cited by 3,317
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LinearMap.extproof · cited by 844
- LieRingModulestatement and proof · cited by 727
- LieSubmodulestatement · cited by 489
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