Expression of type Lambda

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, Lambda, Omega, x
from proveit.logic import InSet
from proveit.statistics import Prob, prob_domain

# build up the expression from sub-expressions
expr = Lambda(x, Conditional(InSet(Prob(x), prob_domain), InSet(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())

x \mapsto \left\{\textrm{Pr}\left(x\right) \in \left[0,1\right] \textrm{ if } x \in \Omega\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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