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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, Ry, X, fy, y
from proveit.statistics import ProbOfAll
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(ProbOfAll(instance_param_or_params = [y], instance_element = fy, domain = X, condition = Ry))
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}_{y \in X~|~R\left(y\right)}~f\left(y\right)\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Operationoperator: 2
operand: 4
2Literal
3ExprTuple4
4Lambdaparameter: 18
body: 5
5Conditionalvalue: 6
condition: 7
6Operationoperator: 8
operand: 18
7Operationoperator: 9
operands: 10
8Variable
9Literal
10ExprTuple11, 12
11Operationoperator: 13
operands: 14
12Operationoperator: 15
operand: 18
13Literal
14ExprTuple18, 17
15Variable
16ExprTuple18
17Variable
18Variable