Expression of type ExprTuple

from the theory of proveit.statistics

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

# build up the expression from sub-expressions
expr = ExprTuple(ProbOfAll(instance_param_or_params = [y], instance_element = fy, domain = X, condition = Ry))

expr:

# 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

# 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)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Operation	operator: 2 operand: 4
2	Literal
3	ExprTuple	4
4	Lambda	parameter: 18 body: 5
5	Conditional	value: 6 condition: 7
6	Operation	operator: 8 operand: 18
7	Operation	operator: 9 operands: 10
8	Variable
9	Literal
10	ExprTuple	11, 12
11	Operation	operator: 13 operands: 14
12	Operation	operator: 15 operand: 18
13	Literal
14	ExprTuple	18, 17
15	Variable
16	ExprTuple	18
17	Variable
18	Variable