Theorems · Theorem · nonassociative algebras
LieDerivation.exp_apply
∀ {R : Type u_1} {L : Type u_2} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
[inst_3 : LieAlgebra ℚ L] (D : LieDerivation R L L) (h : IsNilpotent ↑D),
↑(D.exp h).toLinearEquiv = IsNilpotent.exp ↑D- Defined in
- Mathlib.Algebra.Lie.Derivation.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LinearEquiv.toLinearMapstatement · cited by 1,171
- IsNilpotentstatement and proof · cited by 248
- LieDerivationstatement and proof · cited by 95
- LieEquiv.toLinearEquivstatement · cited by 16
- LieDerivation.toLinearMapstatement and proof · cited by 15
- IsNilpotent.expstatement · cited by 14
- LieDerivation.expstatement · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- LieDerivation.exp_map_applyproof · cited by 0