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 ExprRange, ExprTuple, Variable, m
from proveit.core_expr_types import Len
from proveit.numbers import Exp, frac, one, three, two
from proveit.physics.quantum import NumBra
from proveit.physics.quantum.QFT import InverseFourierTransform
from proveit.physics.quantum.QPE import _t

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [NumBra(m, _t), frac(one, Exp(two, frac(_t, two))), InverseFourierTransform(_t)]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, three)]))

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({_{t}}\langle m \rvert, \frac{1}{2^{\frac{t}{2}}}, {\mathrm {FT}}^{\dag}_{t}\right)|, |\left(1, 2, \ldots, 3\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 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7, 8
4	Literal
5	ExprTuple	9
6	Operation	operator: 10 operands: 11
7	Operation	operator: 25 operands: 12
8	Operation	operator: 13 operand: 27
9	ExprRange	lambda_map: 15 start_index: 18 end_index: 16
10	Literal
11	ExprTuple	17, 27
12	ExprTuple	18, 19
13	Literal
14	ExprTuple	27
15	Lambda	parameter: 23 body: 23
16	Literal
17	Variable
18	Literal
19	Operation	operator: 21 operands: 22
20	ExprTuple	23
21	Literal
22	ExprTuple	28, 24
23	Variable
24	Operation	operator: 25 operands: 26
25	Literal
26	ExprTuple	27, 28
27	Literal
28	Literal