Theorems · Definition · nonassociative algebras

LieSubmodule.copy

{R : Type u} →
  {L : Type v} →
    {M : Type w} →
      [inst : CommRing R] →
        [inst_1 : LieRing L] →
          [inst_2 : AddCommGroup M] →
            [inst_3 : Module R M] →
              [inst_4 : LieRingModule L M] → (N : LieSubmodule R L M) → (s : Set M) → s = ↑N → LieSubmodule R L M

Copy of a LieSubmodule with a new carrier equal to the old one. Useful to fix definitional equalities.

Defined in

Mathlib.Algebra.Lie.Submodule

Cited by

2 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext

Assumes

CommRingLieRingAddCommGroupModuleLieRingModule