Metamath Proof Explorer


Theorem s3cli

Description: A length 3 string is a word. (Contributed by Mario Carneiro, 26-Feb-2016)

Ref Expression
Assertion s3cli ⊢ ⟨“ ABC ”⟩ ∈ Word V

Proof

Step Hyp Ref Expression
1 df-s3 ⊢ ⟨“ ABC ”⟩ = ⟨“ AB ”⟩ ++ ⟨“ C ”⟩
2 s2cli ⊢ ⟨“ AB ”⟩ ∈ Word V
3 1 2 cats1cli ⊢ ⟨“ ABC ”⟩ ∈ Word V