Definition df-lidl 14025

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. (Contributed by Stefan O'Rear, 31-Mar-2015.)

Assertion

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

Detailed syntax breakdown of Definition df-lidl

Step	Hyp	Ref	Expression
1		clidl 14023	. 2 class LIdeal
2		clss 13908	. . 3 class LSubSp
3		crglmod 13990	. . 3 class ringLMod
4	2, 3	ccom 4667	. 2 class (LSubSp ∘ ringLMod)
5	1, 4	wceq 1364	1 wff LIdeal = (LSubSp ∘ ringLMod)

This definition is referenced by:  lidlvalg  14027  lidlmex  14031