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, l
from proveit.numbers import Mult, frac, i, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(Mult(two, pi, i, subtract(_delta_b_floor, frac(l, _two_pow_t)), _two_pow_t), Mult(two, pi, i, subtract(Mult(_delta_b_floor, _two_pow_t), l)))

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