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, t
from proveit.core_expr_types import Len
from proveit.linear_algebra import MatrixExp
from proveit.numbers import Add, Exp, Neg, one, two, zero
from proveit.physics.quantum.QPE import _U

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [ExprRange(sub_expr1, MatrixExp(_U, Exp(two, Neg(sub_expr1))), Add(Neg(t), one), zero)]), 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(|\left(U^{2^{-\left(-t + 1\right)}}, U^{2^{-\left(-t + 2\right)}}, \ldots, U^{2^{-0}}\right)|, 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, 20
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4
4	ExprRange	lambda_map: 5 start_index: 6 end_index: 7
5	Lambda	parameter: 25 body: 8
6	Operation	operator: 9 operands: 10
7	Literal
8	Operation	operator: 11 operands: 12
9	Literal
10	ExprTuple	13, 14
11	Literal
12	ExprTuple	15, 16
13	Operation	operator: 23 operand: 20
14	Literal
15	Literal
16	Operation	operator: 18 operands: 19
17	ExprTuple	20
18	Literal
19	ExprTuple	21, 22
20	Variable
21	Literal
22	Operation	operator: 23 operand: 25
23	Literal
24	ExprTuple	25
25	Variable