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), Add(subtract(Mult(frac(one, Exp(two, one)), _two_pow_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(\left(\left(2^{t - 1} - 2\right) + 1\right) + 1, \left(\left(\frac{1}{2^{1}} \cdot 2^{t}\right) - 1\right) + 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, 2
1	Operation	operator: 25 operands: 3
2	Operation	operator: 25 operands: 4
3	ExprTuple	5, 34
4	ExprTuple	6, 34
5	Operation	operator: 25 operands: 7
6	Operation	operator: 25 operands: 8
7	ExprTuple	9, 34
8	ExprTuple	10, 30
9	Operation	operator: 25 operands: 11
10	Operation	operator: 12 operands: 13
11	ExprTuple	14, 15
12	Literal
13	ExprTuple	16, 17
14	Operation	operator: 27 operands: 18
15	Operation	operator: 32 operand: 31
16	Operation	operator: 20 operands: 21
17	Operation	operator: 27 operands: 22
18	ExprTuple	31, 23
19	ExprTuple	31
20	Literal
21	ExprTuple	34, 24
22	ExprTuple	31, 29
23	Operation	operator: 25 operands: 26
24	Operation	operator: 27 operands: 28
25	Literal
26	ExprTuple	29, 30
27	Literal
28	ExprTuple	31, 34
29	Literal
30	Operation	operator: 32 operand: 34
31	Literal
32	Literal
33	ExprTuple	34
34	Literal