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, k, m
from proveit.numbers import Mod, Mult, Neg, frac, i, pi, two
from proveit.physics.quantum.QPE import _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = Mod(m, _two_pow_t)
expr = ExprTuple(Neg(frac(Mult(two, pi, i, k, sub_expr1), _two_pow_t)), Neg(Mult(frac(Mult(two, pi, i, sub_expr1), _two_pow_t), k)))

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