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Expression of type ExprTuple

from the theory of proveit.statistics

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import A, B, ExprTuple, Function, Q, Qx, f, fx, gy, x, y
from proveit.statistics import ProbOfAll
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [gy]
expr = ExprTuple(ProbOfAll(instance_param_or_params = [x], instance_element = fx, domain = A, condition = Qx), ProbOfAll(instance_param_or_params = [y], instance_element = Function(f, sub_expr1), domain = B, condition = Function(Q, sub_expr1)))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\textrm{Prob}_{x \in A~|~Q\left(x\right)}~f\left(x\right), \textrm{Prob}_{y \in B~|~Q\left(g\left(y\right)\right)}~f\left(g\left(y\right)\right)\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 4
operand: 6
2Operationoperator: 4
operand: 7
3ExprTuple6
4Literal
5ExprTuple7
6Lambdaparameter: 29
body: 8
7Lambdaparameter: 34
body: 9
8Conditionalvalue: 10
condition: 11
9Conditionalvalue: 12
condition: 13
10Operationoperator: 15
operand: 29
11Operationoperator: 16
operands: 14
12Operationoperator: 15
operand: 31
13Operationoperator: 16
operands: 17
14ExprTuple18, 19
15Variable
16Literal
17ExprTuple20, 21
18Operationoperator: 24
operands: 22
19Operationoperator: 26
operand: 29
20Operationoperator: 24
operands: 25
21Operationoperator: 26
operand: 31
22ExprTuple29, 28
23ExprTuple29
24Literal
25ExprTuple34, 30
26Variable
27ExprTuple31
28Variable
29Variable
30Variable
31Operationoperator: 32
operand: 34
32Variable
33ExprTuple34
34Variable