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, l, t
from proveit.logic import InSet
from proveit.numbers import Exp, IntervalCC, Real, frac, one, subtract, two

# build up the expression from sub-expressions
expr = Conditional(InSet(frac(one, Exp(l, two)), Real), InSet(l, 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\{\frac{1}{l^{2}} \in \mathbb{R} \textrm{ if } l \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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	18, 8
6	Operation	operator: 9 operands: 10
7	Literal
8	Operation	operator: 11 operands: 12
9	Literal
10	ExprTuple	30, 13
11	Literal
12	ExprTuple	14, 15
13	Operation	operator: 20 operands: 16
14	Variable
15	Operation	operator: 24 operands: 17
16	ExprTuple	18, 22
17	ExprTuple	19, 27
18	Variable
19	Operation	operator: 20 operands: 21
20	Literal
21	ExprTuple	22, 23
22	Literal
23	Operation	operator: 24 operands: 25
24	Literal
25	ExprTuple	26, 27
26	Variable
27	Operation	operator: 28 operand: 30
28	Literal
29	ExprTuple	30
30	Literal