Database
SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for Mario Carneiro
Metamath formal systems
df-msta
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Definition
df-msta
Description:
Define the set of all statements.
(Contributed by
Mario Carneiro
, 14-Jul-2016)
Ref
Expression
Assertion
df-msta
⊢
mStat
=
t
∈
V
⟼
ran
⁡
mStRed
⁡
t
Detailed syntax breakdown
Step
Hyp
Ref
Expression
0
cmsta
class
mStat
1
vt
setvar
t
2
cvv
class
V
3
cmsr
class
mStRed
4
1
cv
setvar
t
5
4
3
cfv
class
mStRed
⁡
t
6
5
crn
class
ran
⁡
mStRed
⁡
t
7
1
2
6
cmpt
class
t
∈
V
⟼
ran
⁡
mStRed
⁡
t
8
0
7
wceq
wff
mStat
=
t
∈
V
⟼
ran
⁡
mStRed
⁡
t