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 Mult, Neg, frac, i, pi, two
from proveit.physics.quantum.QPE import _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = frac(Mult(two, pi, i, m), _two_pow_t)
expr = ExprTuple(Mult(Neg(sub_expr1), k), Neg(Mult(sub_expr1, 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(\left(-\frac{2 \cdot \pi \cdot \mathsf{i} \cdot m}{2^{t}}\right) \cdot k, -\left(\frac{2 \cdot \pi \cdot \mathsf{i} \cdot m}{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: 16 operands: 3
2	Operation	operator: 7 operand: 6
3	ExprTuple	5, 11
4	ExprTuple	6
5	Operation	operator: 7 operand: 10
6	Operation	operator: 16 operands: 9
7	Literal
8	ExprTuple	10
9	ExprTuple	10, 11
10	Operation	operator: 12 operands: 13
11	Variable
12	Literal
13	ExprTuple	14, 15
14	Operation	operator: 16 operands: 17
15	Operation	operator: 18 operands: 19
16	Literal
17	ExprTuple	23, 20, 21, 22
18	Literal
19	ExprTuple	23, 24
20	Literal
21	Literal
22	Variable
23	Literal
24	Literal