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, 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(Exp(e, Mult(two, pi, i, subtract(Mult(_delta_b_floor, _two_pow_t), l))), Exp(e, Mult(two, pi, i, subtract(Mult(_two_pow_t, _delta_b_floor), 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(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left(\left(\delta_{b_{\textit{f}}} \cdot 2^{t}\right) - l\right)}, \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left(\left(2^{t} \cdot \delta_{b_{\textit{f}}}\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: 28 operands: 3
2	Operation	operator: 28 operands: 4
3	ExprTuple	6, 5
4	ExprTuple	6, 7
5	Operation	operator: 21 operands: 8
6	Literal
7	Operation	operator: 21 operands: 9
8	ExprTuple	32, 11, 12, 10
9	ExprTuple	32, 11, 12, 13
10	Operation	operator: 15 operands: 14
11	Literal
12	Literal
13	Operation	operator: 15 operands: 16
14	ExprTuple	17, 19
15	Literal
16	ExprTuple	18, 19
17	Operation	operator: 21 operands: 20
18	Operation	operator: 21 operands: 22
19	Operation	operator: 23 operand: 27
20	ExprTuple	26, 25
21	Literal
22	ExprTuple	25, 26
23	Literal
24	ExprTuple	27
25	Operation	operator: 28 operands: 29
26	Operation	operator: 30 operand: 34
27	Variable
28	Literal
29	ExprTuple	32, 33
30	Literal
31	ExprTuple	34
32	Literal
33	Literal
34	Literal