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, Omega, X
from proveit.logic import InSet, SubsetEq
from proveit.statistics import Prob, prob_domain

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(X, Conditional(InSet(Prob(X), prob_domain), SubsetEq(X, Omega))))

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(X\right) \in \left[0,1\right] \textrm{ if } X \subseteq \Omega\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: 16 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	16, 11
9	Operation	operator: 12 operand: 16
10	Operation	operator: 14 operands: 15
11	Variable
12	Literal
13	ExprTuple	16
14	Literal
15	ExprTuple	17, 18
16	Variable
17	Literal
18	Literal