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 Abs, Mult, frac, one, pi, two
from proveit.physics.quantum.QPE import _delta_b_round, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = Abs(_delta_b_round)
sub_expr2 = frac(Mult(_two_pow_t, Mult(two, sub_expr1)), Mult(pi, sub_expr1))
expr = ExprTuple(Mult(frac(one, Mult(one, _two_pow_t)), sub_expr2), Mult(frac(one, _two_pow_t), sub_expr2))

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(\frac{1}{1 \cdot 2^{t}} \cdot \frac{2^{t} \cdot \left(2 \cdot \left|\delta_{b_{\textit{r}}}\right|\right)}{\pi \cdot \left|\delta_{b_{\textit{r}}}\right|}, \frac{1}{2^{t}} \cdot \frac{2^{t} \cdot \left(2 \cdot \left|\delta_{b_{\textit{r}}}\right|\right)}{\pi \cdot \left|\delta_{b_{\textit{r}}}\right|}\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: 23 operands: 3
2	Operation	operator: 23 operands: 4
3	ExprTuple	5, 7
4	ExprTuple	6, 7
5	Operation	operator: 9 operands: 8
6	Operation	operator: 9 operands: 14
7	Operation	operator: 9 operands: 10
8	ExprTuple	17, 11
9	Literal
10	ExprTuple	12, 13
11	Operation	operator: 23 operands: 14
12	Operation	operator: 23 operands: 15
13	Operation	operator: 23 operands: 16
14	ExprTuple	17, 18
15	ExprTuple	18, 19
16	ExprTuple	20, 27
17	Literal
18	Operation	operator: 21 operands: 22
19	Operation	operator: 23 operands: 24
20	Literal
21	Literal
22	ExprTuple	26, 25
23	Literal
24	ExprTuple	26, 27
25	Literal
26	Literal
27	Operation	operator: 28 operand: 30
28	Literal
29	ExprTuple	30
30	Operation	operator: 31 operand: 33
31	Literal
32	ExprTuple	33
33	Literal