Description: Define the Hilbert space identity operator. See dfiop2 for alternate definition. (Contributed by NM, 15-Nov-2000) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-iop | ⊢ Iop = ( projℎ ‘ ℋ ) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 0 | chio | ⊢ Iop | |
| 1 | cpjh | ⊢ projℎ | |
| 2 | chba | ⊢ ℋ | |
| 3 | 2 1 | cfv | ⊢ ( projℎ ‘ ℋ ) | 
| 4 | 0 3 | wceq | ⊢ Iop = ( projℎ ‘ ℋ ) |