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, Qx, Ry, X, fx, fy, x, y
from proveit.numbers import one, subtract
from proveit.statistics import ProbOfAll

# build up the expression from sub-expressions
expr = ExprTuple(ProbOfAll(instance_param_or_params = [x], instance_element = fx, domain = X, condition = Qx), subtract(one, 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}_{x \in X~|~Q\left(x\right)}~f\left(x\right), 1 - \left[\textrm{Prob}_{y \in X~|~R\left(y\right)}~f\left(y\right)\right]\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 16 operand: 6
2	Operation	operator: 4 operands: 5
3	ExprTuple	6
4	Literal
5	ExprTuple	7, 8
6	Lambda	parameter: 25 body: 9
7	Literal
8	Operation	operator: 10 operand: 14
9	Conditional	value: 12 condition: 13
10	Literal
11	ExprTuple	14
12	Operation	operator: 28 operand: 25
13	Operation	operator: 29 operands: 15
14	Operation	operator: 16 operand: 20
15	ExprTuple	18, 19
16	Literal
17	ExprTuple	20
18	Operation	operator: 33 operands: 21
19	Operation	operator: 22 operand: 25
20	Lambda	parameter: 38 body: 24
21	ExprTuple	25, 37
22	Variable
23	ExprTuple	25
24	Conditional	value: 26 condition: 27
25	Variable
26	Operation	operator: 28 operand: 38
27	Operation	operator: 29 operands: 30
28	Variable
29	Literal
30	ExprTuple	31, 32
31	Operation	operator: 33 operands: 34
32	Operation	operator: 35 operand: 38
33	Literal
34	ExprTuple	38, 37
35	Variable
36	ExprTuple	38
37	Variable
38	Variable