Expression of type Conditional

from the theory of proveit.numbers.integration

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, e, fx, t, x
from proveit.logic import InSet
from proveit.numbers import Exp, IntervalCC, one, subtract, two

# build up the expression from sub-expressions
expr = Conditional(fx, InSet(x, IntervalCC(e, subtract(Exp(two, subtract(t, one)), one))))

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\{f\left(x\right) \textrm{ if } x \in \left[e,2^{t - 1} - 1\right]\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 3 operand: 7
2	Operation	operator: 5 operands: 6
3	Variable
4	ExprTuple	7
5	Literal
6	ExprTuple	7, 8
7	Variable
8	Operation	operator: 9 operands: 10
9	Literal
10	ExprTuple	11, 12
11	Variable
12	Operation	operator: 19 operands: 13
13	ExprTuple	14, 22
14	Operation	operator: 15 operands: 16
15	Literal
16	ExprTuple	17, 18
17	Literal
18	Operation	operator: 19 operands: 20
19	Literal
20	ExprTuple	21, 22
21	Variable
22	Operation	operator: 23 operand: 25
23	Literal
24	ExprTuple	25
25	Literal