Theorem s5cli

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

	Ref	Expression
Assertion	s5cli	⊢ ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 ”⟩ ∈ Word V

Proof

Step	Hyp	Ref	Expression
1		df-s5	⊢ ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 ”⟩ = ( ⟨“ 𝐴 𝐵 𝐶 𝐷 ”⟩ ++ ⟨“ 𝐸 ”⟩ )
2		s4cli	⊢ ⟨“ 𝐴 𝐵 𝐶 𝐷 ”⟩ ∈ Word V
3	1 2	cats1cli	⊢ ⟨“ 𝐴 𝐵 𝐶 𝐷 𝐸 ”⟩ ∈ Word V