Definition df-lidl

Description: Define the class of left ideals of a given ring. An ideal is a submodule of the ring viewed as a module over itself. For the usual textbook definition of a (left) ideal of a ring to be a subgroup of the additive group of the ring which is closed under left-multiplication by elements of the full ring, see dflidl2 . (Contributed by Stefan O'Rear, 31-Mar-2015)

	Ref	Expression
Assertion	df-lidl	⊢ LIdeal = ( LSubSp ∘ ringLMod )

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		clidl	⊢ LIdeal
1		clss	⊢ LSubSp
2		crglmod	⊢ ringLMod
3	1 2	ccom	⊢ ( LSubSp ∘ ringLMod )
4	0 3	wceq	⊢ LIdeal = ( LSubSp ∘ ringLMod )