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| Mirrors > Home > HSE Home > Th. List > df-iop | Structured version Visualization version GIF version | ||
| Description: Define the Hilbert space identity operator. See dfiop2 31828 for alternate definition. (Contributed by NM, 15-Nov-2000.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-iop | ⊢ Iop = (projℎ‘ ℋ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | chio 31019 | . 2 class Iop | |
| 2 | chba 30994 | . . 3 class ℋ | |
| 3 | cpjh 31012 | . . 3 class projℎ | |
| 4 | 2, 3 | cfv 6492 | . 2 class (projℎ‘ ℋ) |
| 5 | 1, 4 | wceq 1541 | 1 wff Iop = (projℎ‘ ℋ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: dfiop2 31828 hoival 31830 hoid1i 31864 hoid1ri 31865 pjclem1 32270 pjclem3 32272 pjci 32275 |
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