Database
REAL AND COMPLEX NUMBERS
Words over a set
Longer string literals
s5cli
Next ⟩
s6cli
Metamath Proof Explorer
Ascii
Unicode
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