Definition df-iop 31781

Description: Define the Hilbert space identity operator. See dfiop2 31785 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 30976	. 2 class Iop
2		chba 30951	. . 3 class ℋ
3		cpjh 30969	. . 3 class projℎ
4	2, 3	cfv 6573	. 2 class (projℎ‘ ℋ)
5	1, 4	wceq 1537	1 wff Iop = (projℎ‘ ℋ)

This definition is referenced by:  dfiop2  31785  hoival  31787  hoid1i  31821  hoid1ri  31822  pjclem1  32227  pjclem3  32229  pjci  32232