Metamath Proof Explorer


Theorem s3cli

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

Ref Expression
Assertion s3cli
|- <" A B C "> e. Word _V

Proof

Step Hyp Ref Expression
1 df-s3
 |-  <" A B C "> = ( <" A B "> ++ <" C "> )
2 s2cli
 |-  <" A B "> e. Word _V
3 1 2 cats1cli
 |-  <" A B C "> e. Word _V