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 Exp, Mult, Neg, e, frac, i, one, pi, two
from proveit.physics.quantum.QPE import _phase, _t, _two_pow_t

# build up the expression from sub-expressions
expr = ExprTuple(frac(one, Exp(two, frac(_t, two))), Exp(e, Mult(two, pi, i, _phase, k)), Exp(e, Neg(frac(Mult(two, pi, i, k, m), _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^{\frac{t}{2}}}, \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \varphi \cdot k}, \mathsf{e}^{-\frac{2 \cdot \pi \cdot \mathsf{i} \cdot k \cdot m}{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, 3
1	Operation	operator: 20 operands: 4
2	Operation	operator: 26 operands: 5
3	Operation	operator: 26 operands: 6
4	ExprTuple	7, 8
5	ExprTuple	10, 9
6	ExprTuple	10, 11
7	Literal
8	Operation	operator: 26 operands: 12
9	Operation	operator: 24 operands: 13
10	Literal
11	Operation	operator: 14 operand: 18
12	ExprTuple	32, 16
13	ExprTuple	32, 28, 29, 17, 30
14	Literal
15	ExprTuple	18
16	Operation	operator: 20 operands: 19
17	Literal
18	Operation	operator: 20 operands: 21
19	ExprTuple	33, 32
20	Literal
21	ExprTuple	22, 23
22	Operation	operator: 24 operands: 25
23	Operation	operator: 26 operands: 27
24	Literal
25	ExprTuple	32, 28, 29, 30, 31
26	Literal
27	ExprTuple	32, 33
28	Literal
29	Literal
30	Variable
31	Variable
32	Literal
33	Literal