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 A, B, ExprTuple, Function, Q, Qx, f, fx, gy, x, y
from proveit.statistics import ProbOfAll

# build up the expression from sub-expressions
sub_expr1 = [gy]
expr = ExprTuple(ProbOfAll(instance_param_or_params = [x], instance_element = fx, domain = A, condition = Qx), ProbOfAll(instance_param_or_params = [y], instance_element = Function(f, sub_expr1), domain = B, condition = Function(Q, sub_expr1)))

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 A~|~Q\left(x\right)}~f\left(x\right), \textrm{Prob}_{y \in B~|~Q\left(g\left(y\right)\right)}~f\left(g\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: 4 operand: 6
2	Operation	operator: 4 operand: 7
3	ExprTuple	6
4	Literal
5	ExprTuple	7
6	Lambda	parameter: 29 body: 8
7	Lambda	parameter: 34 body: 9
8	Conditional	value: 10 condition: 11
9	Conditional	value: 12 condition: 13
10	Operation	operator: 15 operand: 29
11	Operation	operator: 16 operands: 14
12	Operation	operator: 15 operand: 31
13	Operation	operator: 16 operands: 17
14	ExprTuple	18, 19
15	Variable
16	Literal
17	ExprTuple	20, 21
18	Operation	operator: 24 operands: 22
19	Operation	operator: 26 operand: 29
20	Operation	operator: 24 operands: 25
21	Operation	operator: 26 operand: 31
22	ExprTuple	29, 28
23	ExprTuple	29
24	Literal
25	ExprTuple	34, 30
26	Variable
27	ExprTuple	31
28	Variable
29	Variable
30	Variable
31	Operation	operator: 32 operand: 34
32	Variable
33	ExprTuple	34
34	Variable