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.numbers import Neg, one
from proveit.statistics import ProbOfAll

# build up the expression from sub-expressions
expr = ExprTuple(one, Neg(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(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	Literal
2	Operation	operator: 3 operand: 5
3	Literal
4	ExprTuple	5
5	Operation	operator: 6 operand: 8
6	Literal
7	ExprTuple	8
8	Lambda	parameter: 22 body: 9
9	Conditional	value: 10 condition: 11
10	Operation	operator: 12 operand: 22
11	Operation	operator: 13 operands: 14
12	Variable
13	Literal
14	ExprTuple	15, 16
15	Operation	operator: 17 operands: 18
16	Operation	operator: 19 operand: 22
17	Literal
18	ExprTuple	22, 21
19	Variable
20	ExprTuple	22
21	Variable
22	Variable