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Metamath Proof Explorer

Theorem lnfnfi

Description: A linear Hilbert space functional is a functional. (Contributed by NM, 11-Feb-2006) (New usage is discouraged.)

		Ref	Expression
	Hypothesis	lnfnl.1	$⊢ T \in LinFn$
	Assertion	lnfnfi	$⊢ T : ℋ ⟶ ℂ$

Step	Hyp	Ref	Expression
1		lnfnl.1	$⊢ T \in LinFn$
2		lnfnf	$⊢ T \in LinFn \to T : ℋ ⟶ ℂ$
3	1 2	ax-mp	$⊢ T : ℋ ⟶ ℂ$