Theorems · Theorem · nonassociative algebras
LieAlgebra.exists_isRegular
∀ (R : Type u_1) (L : Type u_3) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] [inst_3 : Module.Finite R L] [inst_4 : Module.Free R L] [IsDomain R] [Infinite R], ∃ x, LieAlgebra.IsRegular R x
- Defined in
- Mathlib.Algebra.Lie.Rank
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- IsDomainstatement and proof · cited by 2,196
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Module.Finitestatement and proof · cited by 1,032
- Module.Freestatement and proof · cited by 597
- Infinitestatement and proof · cited by 352
- LieModule.toEndproof · cited by 144
- LieHom.toLinearMapproof · cited by 74
- LieAlgebra.IsRegularstatement · cited by 7
- LinearMap.exists_isNilRegularproof · cited by 2
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