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, frac, one, subtract, two

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