Database
REAL AND COMPLEX NUMBERS
Words over a set
Definitions and basic theorems
wrdexi
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wrdsymbcl
Metamath Proof Explorer
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Theorem
wrdexi
Description:
The set of words over a set is a set, inference form.
(Contributed by
AV
, 23-May-2021)
Ref
Expression
Hypothesis
wrdexi.1
⊢
S
∈
V
Assertion
wrdexi
⊢
Word
S
∈
V
Proof
Step
Hyp
Ref
Expression
1
wrdexi.1
⊢
S
∈
V
2
wrdexg
⊢
S
∈
V
→
Word
S
∈
V
3
1
2
ax-mp
⊢
Word
S
∈
V