Metamath Proof Explorer


Definition df-iop

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 )

Detailed syntax breakdown

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 )