Theorems · Theorem · nonassociative algebras
LieAlgebra.Basis.linearIndependent_baseSupp
∀ {ι : Type u_1} {R : Type u_2} {L : Type u_3} [inst : Finite ι] [inst_1 : CommRing R] [inst_2 : LieRing L]
[inst_3 : LieAlgebra R L] {H : LieSubalgebra R L} (b : LieAlgebra.Basis ι H) [inst_4 : Fintype ι] [IsDomain R]
[CharZero R], LinearIndependent R b.baseSupp- Defined in
- Mathlib.Algebra.Lie.Basis.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites41
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Set.rangeproof · cited by 4,705
- Finset.univproof · cited by 3,473
- Finitestatement and proof · cited by 3,029
- Finset.sum_congrproof · cited by 2,323
- IsDomainstatement and proof · cited by 2,196
- LieRingstatement and proof · cited by 1,548
- Submodule.spanproof · cited by 1,504
- LinearEquiv.symmproof · cited by 1,461
Cited by3
Results whose statement or proof uses this declaration.
- LieAlgebra.Basis.iSupIndep_rootSpaceproof · cited by 3
- LieAlgebra.Basis.borelUpper_le_biSupproof · cited by 1
- LieAlgebra.Basis.linearIndepOn_root_baseSuppproof · cited by 0