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, Rx, X, fx, x
from proveit.statistics import ProbOfAll

# 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:

# 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), \textrm{Prob}_{x \in X~|~R\left(x\right)}~f\left(x\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: 4 operand: 6
2	Operation	operator: 4 operand: 7
3	ExprTuple	6
4	Literal
5	ExprTuple	7
6	Lambda	parameter: 26 body: 8
7	Lambda	parameter: 26 body: 9
8	Conditional	value: 11 condition: 10
9	Conditional	value: 11 condition: 12
10	Operation	operator: 15 operands: 13
11	Operation	operator: 14 operand: 26
12	Operation	operator: 15 operands: 16
13	ExprTuple	18, 17
14	Variable
15	Literal
16	ExprTuple	18, 19
17	Operation	operator: 20 operand: 26
18	Operation	operator: 21 operands: 22
19	Operation	operator: 23 operand: 26
20	Variable
21	Literal
22	ExprTuple	26, 25
23	Variable
24	ExprTuple	26
25	Variable
26	Variable