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, m
from proveit.numbers import Exp, frac, one, two
from proveit.physics.quantum import NumBra, Qmult
from proveit.physics.quantum.QFT import InverseFourierTransform
from proveit.physics.quantum.QPE import _t

# build up the expression from sub-expressions
sub_expr1 = NumBra(m, _t)
sub_expr2 = InverseFourierTransform(_t)
sub_expr3 = frac(one, Exp(two, frac(_t, two)))
expr = ExprTuple(Qmult(sub_expr1, sub_expr3, sub_expr2), Qmult(Qmult(sub_expr1, sub_expr3), sub_expr2))

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({_{t}}\langle m \rvert \thinspace \frac{1}{2^{\frac{t}{2}}} \thinspace {\mathrm {FT}}^{\dag}_{t}, \left({_{t}}\langle m \rvert \thinspace \frac{1}{2^{\frac{t}{2}}}\right) \thinspace {\mathrm {FT}}^{\dag}_{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: 7 operands: 3
2	Operation	operator: 7 operands: 4
3	ExprTuple	11, 12, 6
4	ExprTuple	5, 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 9 operand: 24
7	Literal
8	ExprTuple	11, 12
9	Literal
10	ExprTuple	24
11	Operation	operator: 13 operands: 14
12	Operation	operator: 22 operands: 15
13	Literal
14	ExprTuple	16, 24
15	ExprTuple	17, 18
16	Variable
17	Literal
18	Operation	operator: 19 operands: 20
19	Literal
20	ExprTuple	25, 21
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Literal