Theorems · Theorem · nonassociative algebras
LieAlgebra.engel_isBot_of_isMin.lieCharpoly_monic
∀ (R : Type u_2) {L : Type u_3} (M : Type u_4) [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 : Module.Finite R L] [inst_8 : Module.Free R L] [inst_9 : Module.Finite R M] [inst_10 : Module.Free R M]
(x y : L), (LieAlgebra.engel_isBot_of_isMin.lieCharpoly✝ R M x y).Monic- Defined in
- Mathlib.Algebra.Lie.CartanExists
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- Polynomialstatement · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Module.Finitestatement and proof · cited by 1,032
- RingHomClass.toRingHomproof · cited by 746
- LieRingModulestatement and proof · cited by 727
Cited by1
Results whose statement or proof uses this declaration.
- LieAlgebra.engel_isBot_of_isMinproof · cited by 1