Expression of type ExprTuple

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, ConditionalSet, ExprTuple
from proveit.numbers import greater, greater_eq, 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 = ExprTuple(ConditionalSet(Conditional(_two_pow__t_minus_one, greater_eq(_two_pow__t_minus_one, sub_expr1)), Conditional(sub_expr1, greater(sub_expr1, _two_pow__t_minus_one))), _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(\left\{\begin{array}{ccc}2^{t - 1} \textrm{ if } 2^{t - 1} \geq \left(2^{t - 1} - 1\right) \\ 2^{t - 1} - 1 \textrm{ if } \left(2^{t - 1} - 1\right) > 2^{t - 1}\end{array}\right.., 2^{t - 1}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 14
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5
4	Conditional	value: 14 condition: 6
5	Conditional	value: 12 condition: 7
6	Operation	operator: 8 operands: 9
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	12, 14
10	Literal
11	ExprTuple	14, 12
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	Literal
22	Operation	operator: 23 operand: 25
23	Literal
24	ExprTuple	25
25	Literal