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Metamath Proof Explorer

Axiom ax-hfi

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

		Ref	Expression
	Assertion	ax-hfi	$⊢ \cdot_{ih} : ℋ \times ℋ ⟶ ℂ$

Step	Hyp	Ref	Expression
0		csp	$class \cdot_{ih}$
1		chba	$class ℋ$
2	1 1	cxp	$class (ℋ \times ℋ)$
3		cc	$class ℂ$
4	2 3 0	wf	$wff \cdot_{ih} : ℋ \times ℋ ⟶ ℂ$