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, e
from proveit.numbers import Add, Exp, Mult, Neg, frac, one, 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(e, Add(Neg(_two_pow__t_minus_one), one, Neg(e))), Add(Neg(Mult(frac(one, Exp(two, one)), _two_pow_t)), 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(e + \left(-2^{t - 1} + 1 - e\right), -\left(\frac{1}{2^{1}} \cdot 2^{t}\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: 26 operands: 3
2	Operation	operator: 26 operands: 4
3	ExprTuple	17, 5
4	ExprTuple	6, 35
5	Operation	operator: 26 operands: 7
6	Operation	operator: 33 operand: 11
7	ExprTuple	9, 35, 10
8	ExprTuple	11
9	Operation	operator: 33 operand: 16
10	Operation	operator: 33 operand: 17
11	Operation	operator: 14 operands: 15
12	ExprTuple	16
13	ExprTuple	17
14	Literal
15	ExprTuple	18, 19
16	Operation	operator: 28 operands: 20
17	Variable
18	Operation	operator: 21 operands: 22
19	Operation	operator: 28 operands: 23
20	ExprTuple	32, 24
21	Literal
22	ExprTuple	35, 25
23	ExprTuple	32, 30
24	Operation	operator: 26 operands: 27
25	Operation	operator: 28 operands: 29
26	Literal
27	ExprTuple	30, 31
28	Literal
29	ExprTuple	32, 35
30	Literal
31	Operation	operator: 33 operand: 35
32	Literal
33	Literal
34	ExprTuple	35
35	Literal