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 ExprTuple
from proveit.numbers import Add, Exp, Mult, frac, one, subtract, two
from proveit.physics.quantum.QPE import _two_pow__t_minus_one, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Add(Add(subtract(_two_pow__t_minus_one, two), one), one), Mult(frac(one, Exp(two, one)), _two_pow_t))

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(\left(2^{t - 1} - 2\right) + 1\right) + 1, \frac{1}{2^{1}} \cdot 2^{t}\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, 2
1	Operation	operator: 24 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 30
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 24 operands: 9
7	Operation	operator: 10 operands: 11
8	Operation	operator: 19 operands: 12
9	ExprTuple	13, 30
10	Literal
11	ExprTuple	30, 14
12	ExprTuple	23, 26
13	Operation	operator: 24 operands: 15
14	Operation	operator: 19 operands: 16
15	ExprTuple	17, 18
16	ExprTuple	23, 30
17	Operation	operator: 19 operands: 20
18	Operation	operator: 28 operand: 23
19	Literal
20	ExprTuple	23, 22
21	ExprTuple	23
22	Operation	operator: 24 operands: 25
23	Literal
24	Literal
25	ExprTuple	26, 27
26	Literal
27	Operation	operator: 28 operand: 30
28	Literal
29	ExprTuple	30
30	Literal