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, l
from proveit.core_expr_types import Len
from proveit.numbers import Exp, Mult, Neg, one, pi, subtract, three, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [pi, subtract(_delta_b_floor, Mult(l, Exp(two, Neg(_t)))), Exp(pi, Neg(one))]), 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(\pi, \delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right), \pi^{-1}\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	16, 6, 7
4	Literal
5	ExprTuple	8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 31 operands: 11
8	ExprRange	lambda_map: 12 start_index: 26 end_index: 13
9	Literal
10	ExprTuple	14, 15
11	ExprTuple	16, 17
12	Lambda	parameter: 23 body: 23
13	Literal
14	Operation	operator: 19 operand: 24
15	Operation	operator: 35 operand: 25
16	Literal
17	Operation	operator: 35 operand: 26
18	ExprTuple	23
19	Literal
20	ExprTuple	24
21	ExprTuple	25
22	ExprTuple	26
23	Variable
24	Literal
25	Operation	operator: 27 operands: 28
26	Literal
27	Literal
28	ExprTuple	29, 30
29	Variable
30	Operation	operator: 31 operands: 32
31	Literal
32	ExprTuple	33, 34
33	Literal
34	Operation	operator: 35 operand: 37
35	Literal
36	ExprTuple	37
37	Literal