ax-hfi - Hilbert Space Explorer

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Axiom ax-hfi 31674

Description: Inner product maps pairs from ℋ to ℂ. (Contributed by NM, 17-Nov-2007.) (New usage is discouraged.)

**Assertion**
Ref	Expression
ax-hfi	⊢ ·_ih :( ℋ × ℋ)⟶ℂ

**Detailed syntax breakdown of Axiom ax-hfi**
Step	Hyp	Ref	Expression
1		chba 31514	. . 3 class ℋ
2	1, 1	cxp 5649	. 2 class ( ℋ × ℋ)
3		cc 11191	. 2 class ℂ
4		csp 31517	. 2 class ·_ih
5	2, 3, 4	wf 6533	1 wff ·_ih :( ℋ × ℋ)⟶ℂ

Colors of variables: wff setvar class

This axiom is used by: hicl 31675 dfhnorm2 31717 hhip 31772