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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 ExprTuple, Qx, Rx, X, fx, x
from proveit.statistics import ProbOfAll
In [2]:
# build up the expression from sub-expressions
sub_expr1 = [x]
expr = ExprTuple(ProbOfAll(instance_param_or_params = sub_expr1, instance_element = fx, domain = X, condition = Qx), ProbOfAll(instance_param_or_params = sub_expr1, instance_element = fx, domain = X, condition = Rx))
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 X~|~Q\left(x\right)}~f\left(x\right), \textrm{Prob}_{x \in X~|~R\left(x\right)}~f\left(x\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: 26
body: 8
7Lambdaparameter: 26
body: 9
8Conditionalvalue: 11
condition: 10
9Conditionalvalue: 11
condition: 12
10Operationoperator: 15
operands: 13
11Operationoperator: 14
operand: 26
12Operationoperator: 15
operands: 16
13ExprTuple18, 17
14Variable
15Literal
16ExprTuple18, 19
17Operationoperator: 20
operand: 26
18Operationoperator: 21
operands: 22
19Operationoperator: 23
operand: 26
20Variable
21Literal
22ExprTuple26, 25
23Variable
24ExprTuple26
25Variable
26Variable