Metamath Proof Explorer


Theorem s2cli

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

Ref Expression
Assertion s2cli ⟨“ 𝐴 𝐵 ”⟩ ∈ Word V

Proof

Step Hyp Ref Expression
1 df-s2 ⟨“ 𝐴 𝐵 ”⟩ = ( ⟨“ 𝐴 ”⟩ ++ ⟨“ 𝐵 ”⟩ )
2 s1cli ⟨“ 𝐴 ”⟩ ∈ Word V
3 1 2 cats1cli ⟨“ 𝐴 𝐵 ”⟩ ∈ Word V