This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem s1cld

Description: A singleton word is a word. (Contributed by Mario Carneiro, 26-Feb-2016)

		Ref	Expression
	Hypothesis	s1cld.1	$⊢ φ \to A \in B$
	Assertion	s1cld	$⊢ φ \to ⟨“ A ”⟩ \in Word B$

Step	Hyp	Ref	Expression
1		s1cld.1	$⊢ φ \to A \in B$
2		s1cl	$⊢ A \in B \to ⟨“ A ”⟩ \in Word B$
3	1 2	syl	$⊢ φ \to ⟨“ A ”⟩ \in Word B$