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 Exp, Mult, e, frac, i, one, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(frac(one, _two_pow_t), frac(subtract(one, Exp(e, Mult(two, pi, i, subtract(Mult(_two_pow_t, _delta_b_floor), l)))), subtract(one, Exp(e, Mult(two, pi, i, subtract(_delta_b_floor, frac(l, _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(\frac{1}{2^{t}}, \frac{1 - \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left(\left(2^{t} \cdot \delta_{b_{\textit{f}}}\right) - l\right)}}{1 - \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left(\delta_{b_{\textit{f}}} - \frac{l}{2^{t}}\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: 42 operands: 3
2	Operation	operator: 42 operands: 4
3	ExprTuple	10, 46
4	ExprTuple	5, 6
5	Operation	operator: 28 operands: 7
6	Operation	operator: 28 operands: 8
7	ExprTuple	10, 9
8	ExprTuple	10, 11
9	Operation	operator: 36 operand: 14
10	Literal
11	Operation	operator: 36 operand: 15
12	ExprTuple	14
13	ExprTuple	15
14	Operation	operator: 47 operands: 16
15	Operation	operator: 47 operands: 17
16	ExprTuple	19, 18
17	ExprTuple	19, 20
18	Operation	operator: 33 operands: 21
19	Literal
20	Operation	operator: 33 operands: 22
21	ExprTuple	49, 24, 25, 23
22	ExprTuple	49, 24, 25, 26
23	Operation	operator: 28 operands: 27
24	Literal
25	Literal
26	Operation	operator: 28 operands: 29
27	ExprTuple	30, 31
28	Literal
29	ExprTuple	38, 32
30	Operation	operator: 33 operands: 34
31	Operation	operator: 36 operand: 45
32	Operation	operator: 36 operand: 39
33	Literal
34	ExprTuple	46, 38
35	ExprTuple	45
36	Literal
37	ExprTuple	39
38	Operation	operator: 40 operand: 44
39	Operation	operator: 42 operands: 43
40	Literal
41	ExprTuple	44
42	Literal
43	ExprTuple	45, 46
44	Literal
45	Variable
46	Operation	operator: 47 operands: 48
47	Literal
48	ExprTuple	49, 50
49	Literal
50	Literal