Definition df-shs 28167

Description: Define subspace sum in SH. See shsval 28171, shsval2i 28246, and shsval3i 28247 for its value. (Contributed by NM, 16-Oct-1999.) (New usage is discouraged.)

Assertion

Ref	Expression
df-shs	|- +H = ( x e. SH , y e. SH |-> ( +h " ( x X. y ) ) )

Distinct variable group:   x, y

Detailed syntax breakdown of Definition df-shs

Step	Hyp	Ref	Expression
1		cph 27788	. 2 class +H
2		vx	. . 3 setvar x
3		vy	. . 3 setvar y
4		csh 27785	. . 3 class SH
5		cva 27777	. . . 4 class +h
6	2	cv 1482	. . . . 5 class x
7	3	cv 1482	. . . . 5 class y
8	6, 7	cxp 5112	. . . 4 class ( x X. y )
9	5, 8	cima 5117	. . 3 class ( +h " ( x X. y ) )
10	2, 3, 4, 4, 9	cmpt2 6652	. 2 class ( x e. SH , y e. SH |-> ( +h " ( x X. y ) ) )
11	1, 10	wceq 1483	1 wff +H = ( x e. SH , y e. SH |-> ( +h " ( x X. y ) ) )

This definition is referenced by:  shsval  28171