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 Conditional, ExprTuple, Lambda, X, fx, gx, x
from proveit.logic import Equals, InSet
from proveit.statistics import Prob

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(x, Conditional(Equals(Prob(fx), Prob(gx)), InSet(x, X))))

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(x \mapsto \left\{\textrm{Pr}\left(f\left(x\right)\right) = \textrm{Pr}\left(g\left(x\right)\right) \textrm{ if } x \in X\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 20 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	20, 11
9	Operation	operator: 13 operand: 15
10	Operation	operator: 13 operand: 16
11	Variable
12	ExprTuple	15
13	Literal
14	ExprTuple	16
15	Operation	operator: 17 operand: 20
16	Operation	operator: 18 operand: 20
17	Variable
18	Variable
19	ExprTuple	20
20	Variable