Metamath Proof Explorer


Theorem s5cli

Description: A length 5 string is a word. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion s5cli ⊢ ⟨“ ABCDE ”⟩ ∈ Word V

Proof

Step Hyp Ref Expression
1 df-s5 ⊢ ⟨“ ABCDE ”⟩ = ⟨“ ABCD ”⟩ ++ ⟨“ E ”⟩
2 s4cli ⊢ ⟨“ ABCD ”⟩ ∈ Word V
3 1 2 cats1cli ⊢ ⟨“ ABCDE ”⟩ ∈ Word V