Definition df-hl 23134

Description: Define the class of all subcomplex Hilbert spaces. A subcomplex Hilbert space is a Banach space which is also an inner product space over a quadratically closed subfield of the field of complex numbers. (Contributed by Steve Rodriguez, 28-Apr-2007.)

Assertion

Ref	Expression
df-hl	|- CHil = (Ban i^i CPreHil )

Detailed syntax breakdown of Definition df-hl

Step	Hyp	Ref	Expression
1		chl 23131	. 2 class CHil
2		cbn 23130	. . 3 class Ban
3		ccph 22966	. . 3 class CPreHil
4	2, 3	cin 3573	. 2 class (Ban i^i CPreHil )
5	1, 4	wceq 1483	1 wff CHil = (Ban i^i CPreHil )

This definition is referenced by:  ishl  23158