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Theorems · Definition · nonassociative algebras

LieHom.toLinearMap

{R : Type u_1} →
  {L : Type u_2} →
    {L' : Type u_3} →
      [inst : CommRing R] →
        [inst_1 : LieRing L] →
          [inst_2 : LieAlgebra R L] → [inst_3 : LieRing L'] → [inst_4 : LieAlgebra R L'] → (L →ₗ⁅R⁆ L') → L →ₗ[R] L'
Defined in
Mathlib.Algebra.Lie.Basic
Cited by
74 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Assumes
CommRingLieRingLieAlgebraLieRingLieAlgebra

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites6

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
  • LieHomstatement and proof · cited by 382

Cited by103

Results whose statement or proof uses this declaration.