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

# build up the expression from sub-expressions
sub_expr1 = subtract(_delta_b_floor, frac(l, _two_pow_t))
expr = ExprTuple(Exp(Exp(e, Mult(two, pi, i, sub_expr1)), Add(_two_pow_t__minus_one, one)), Exp(e, Mult(two, pi, i, sub_expr1, _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((\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left(\delta_{b_{\textit{f}}} - \frac{l}{2^{t}}\right)})^{\left(2^{t} - 1\right) + 1}, \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left(\delta_{b_{\textit{f}}} - \frac{l}{2^{t}}\right) \cdot 2^{t}}\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: 37 operands: 3
2	Operation	operator: 37 operands: 4
3	ExprTuple	5, 6
4	ExprTuple	11, 7
5	Operation	operator: 37 operands: 8
6	Operation	operator: 21 operands: 9
7	Operation	operator: 14 operands: 10
8	ExprTuple	11, 12
9	ExprTuple	13, 26
10	ExprTuple	39, 17, 18, 19, 36
11	Literal
12	Operation	operator: 14 operands: 15
13	Operation	operator: 21 operands: 16
14	Literal
15	ExprTuple	39, 17, 18, 19
16	ExprTuple	36, 20
17	Literal
18	Literal
19	Operation	operator: 21 operands: 22
20	Operation	operator: 29 operand: 26
21	Literal
22	ExprTuple	24, 25
23	ExprTuple	26
24	Operation	operator: 27 operand: 31
25	Operation	operator: 29 operand: 32
26	Literal
27	Literal
28	ExprTuple	31
29	Literal
30	ExprTuple	32
31	Literal
32	Operation	operator: 33 operands: 34
33	Literal
34	ExprTuple	35, 36
35	Variable
36	Operation	operator: 37 operands: 38
37	Literal
38	ExprTuple	39, 40
39	Literal
40	Literal