Definition df-iop 32101

Description: Define the Hilbert space identity operator. See dfiop2 32105 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 31296	. 2 class Iop
2		chba 31271	. . 3 class ℋ
3		cpjh 31289	. . 3 class projℎ
4	2, 3	cfv 6536	. 2 class (projℎ‘ ℋ)
5	1, 4	wceq 1570	1 wff Iop = (projℎ‘ ℋ)

This definition is referenced by:  dfiop2  32105  hoival  32107  hoid1i  32141  hoid1ri  32142  pjclem1  32547  pjclem3  32549  pjci  32552