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Metamath Proof Explorer

Theorem pjfn

Description: Functionality of a projection. (Contributed by NM, 30-May-2006) (New usage is discouraged.)

		Ref	Expression
	Assertion	pjfn	$⊢ H \in C_{ℋ} \to {proj}_{ℎ} (H) Fn ℋ$

Step	Hyp	Ref	Expression
1		pjhf	$⊢ H \in C_{ℋ} \to {proj}_{ℎ} (H) : ℋ ⟶ ℋ$
2	1	ffnd	$⊢ H \in C_{ℋ} \to {proj}_{ℎ} (H) Fn ℋ$