Expression of type Conditional

from the theory of proveit.physics.quantum.QPE

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
from proveit.numbers import greater, one, subtract
from proveit.physics.quantum.QPE import _two_pow__t_minus_one

# build up the expression from sub-expressions
sub_expr1 = subtract(_two_pow__t_minus_one, one)
expr = Conditional(sub_expr1, greater(sub_expr1, _two_pow__t_minus_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\{2^{t - 1} - 1 \textrm{ if } \left(2^{t - 1} - 1\right) > 2^{t - 1}\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: 4 condition: 1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	6, 4
4	Operation	operator: 11 operands: 5
5	ExprTuple	6, 14
6	Operation	operator: 7 operands: 8
7	Literal
8	ExprTuple	9, 10
9	Literal
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13, 14
13	Literal
14	Operation	operator: 15 operand: 17
15	Literal
16	ExprTuple	17
17	Literal