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Theorems · Theorem · nonassociative algebras

LieSubalgebra.coe_set_eq

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  (L₁' L₂' : LieSubalgebra R L), ↑L₁' = ↑L₂' ↔ L₁' = L₂'
Defined in
Mathlib.Algebra.Lie.Subalgebra
Cited by
2 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Assumes
CommRingLieRingLieAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LieSubalgebra.toSubmodule_injective · cited by 3LieSubalgebra.toSubmodule…LieAlgebra.exists_engelian_lieSubalgebra_of_lt_normalizer · cited by 1LieAlgebra.exists_engelia…Set · cited by 53352SetCommRing · cited by 17173CommRingSetLike.coe · cited by 8199SetLike.coeLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieSubalgebra · cited by 418LieSubalgebraSetLike.coe_set_eq · cited by 27SetLike.coe_set_eqLieSubalgebra.coe_set_eqCITED BYCITES

Cites7

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Cited by2

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