Definition df-iop 32172

Description: Define the Hilbert space identity operator. See dfiop2 32176 for alternate definition. (Contributed by NM, 15-Nov-2000.) (New usage is discouraged.)

Assertion

Ref	Expression
df-iop	⊢ Iop = (projℎ‘ ℋ)

Detailed syntax breakdown of Definition df-iop

Step	Hyp	Ref	Expression
1		chio 31367	. 2 class Iop
2		chba 31342	. . 3 class ℋ
3		cpjh 31360	. . 3 class projℎ
4	2, 3	cfv 6540	. 2 class (projℎ‘ ℋ)
5	1, 4	wceq 1570	1 wff Iop = (projℎ‘ ℋ)

This definition is used by:  dfiop2  32176  hoival  32178  hoid1i  32212  hoid1ri  32213  pjclem1  32618  pjclem3  32620  pjci  32623