Theorem s1cld

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

	Ref	Expression
Hypothesis	s1cld.1	$$⊢\phi \to A\in B$$
Assertion	s1cld	$$⊢\phi \to ⟨“A”⟩\in \mathrm{Word}B$$

Proof

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