Metamath Proof Explorer


Theorem s4cli

Description: A length 4 string is a word. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion s4cli ⊢ ⟨“ ABCD ”⟩ ∈ Word V

Proof

Step Hyp Ref Expression
1 df-s4 ⊢ ⟨“ ABCD ”⟩ = ⟨“ ABC ”⟩ ++ ⟨“ D ”⟩
2 s3cli ⊢ ⟨“ ABC ”⟩ ∈ Word V
3 1 2 cats1cli ⊢ ⟨“ ABCD ”⟩ ∈ Word V