Metamath Proof Explorer


Theorem pjhclii

Description: Closure of a projection in Hilbert space. (Contributed by NM, 30-Oct-1999) (New usage is discouraged.)

Ref Expression
Hypotheses pjcli.1 H C
pjcli.2 A
Assertion pjhclii proj H A

Proof

Step Hyp Ref Expression
1 pjcli.1 H C
2 pjcli.2 A
3 1 pjhcli A proj H A
4 2 3 ax-mp proj H A