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, C, ExprTuple, Qx, fx, x
from proveit.numbers import Add
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 = C, condition = Qx), Add(ProbOfAll(instance_param_or_params = sub_expr1, instance_element = fx, domain = A, condition = Qx), ProbOfAll(instance_param_or_params = sub_expr1, instance_element = fx, domain = B, condition = Qx)))

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 C~|~Q\left(x\right)}~f\left(x\right), \left[\textrm{Prob}_{x \in A~|~Q\left(x\right)}~f\left(x\right)\right] + \left[\textrm{Prob}_{x \in B~|~Q\left(x\right)}~f\left(x\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: 11 operand: 6
2	Operation	operator: 4 operands: 5
3	ExprTuple	6
4	Literal
5	ExprTuple	7, 8
6	Lambda	parameter: 39 body: 9
7	Operation	operator: 11 operand: 14
8	Operation	operator: 11 operand: 15
9	Conditional	value: 21 condition: 13
10	ExprTuple	14
11	Literal
12	ExprTuple	15
13	Operation	operator: 26 operands: 16
14	Lambda	parameter: 39 body: 17
15	Lambda	parameter: 39 body: 18
16	ExprTuple	19, 31
17	Conditional	value: 21 condition: 20
18	Conditional	value: 21 condition: 22
19	Operation	operator: 33 operands: 23
20	Operation	operator: 26 operands: 24
21	Operation	operator: 25 operand: 39
22	Operation	operator: 26 operands: 27
23	ExprTuple	39, 28
24	ExprTuple	29, 31
25	Variable
26	Literal
27	ExprTuple	30, 31
28	Variable
29	Operation	operator: 33 operands: 32
30	Operation	operator: 33 operands: 34
31	Operation	operator: 35 operand: 39
32	ExprTuple	39, 37
33	Literal
34	ExprTuple	39, 38
35	Variable
36	ExprTuple	39
37	Variable
38	Variable
39	Variable