Theorems · Theorem · nonassociative algebras
LieAlgebra.exists_isCartanSubalgebra_engel
∀ (K : Type u_1) (L : Type u_2) [inst : Field K] [inst_1 : LieRing L] [inst_2 : LieAlgebra K L] [Module.Finite K L] [Infinite K], ∃ x, (LieSubalgebra.engel K x).IsCartanSubalgebra
- Defined in
- Mathlib.Algebra.Lie.CartanExists
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, 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.
- Fieldstatement and proof · cited by 7,404
- LE.le.transproof · cited by 3,151
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Module.Finitestatement and proof · cited by 1,032
- Infinitestatement and proof · cited by 352
- LieSubalgebra.IsCartanSubalgebrastatement · cited by 135
- Cardinal.natCast_le_aleph0proof · cited by 20
- LieSubalgebra.engelstatement · cited by 13
- Cardinal.infinite_iffproof · cited by 12
- LieAlgebra.exists_isCartanSubalgebra_engel_of_finrank_le_cardproof · cited by 1
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