Theorem s1cld

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

	Ref	Expression
Hypothesis	s1cld.1	⊢ ( 𝜑 → 𝐴 ∈ 𝐵 )
Assertion	s1cld	⊢ ( 𝜑 → ⟨“ 𝐴 ”⟩ ∈ Word 𝐵 )

Proof

Step	Hyp	Ref	Expression
1		s1cld.1	⊢ ( 𝜑 → 𝐴 ∈ 𝐵 )
2		s1cl	⊢ ( 𝐴 ∈ 𝐵 → ⟨“ 𝐴 ”⟩ ∈ Word 𝐵 )
3	1 2	syl	⊢ ( 𝜑 → ⟨“ 𝐴 ”⟩ ∈ Word 𝐵 )