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
from proveit.core_expr_types import Len
from proveit.numbers import Add, Neg, one, six
from proveit.physics.quantum.QPE import _s, _t

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Neg(one)
sub_expr3 = Add(_t, sub_expr2, one)
sub_expr4 = Add(Add(_t, _s), Neg(Add(_t, one)), one)
expr = ExprTuple(Len(operands = [sub_expr3, Add(_s, sub_expr2, one), sub_expr3, sub_expr4, sub_expr3, sub_expr4]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, six)]))

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 - 1 + 1, s - 1 + 1, t - 1 + 1, \left(t + s\right) - \left(t + 1\right) + 1, t - 1 + 1, \left(t + s\right) - \left(t + 1\right) + 1\right)|, |\left(1, 2, \ldots, 6\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	7, 6, 7, 8, 7, 8
4	Literal
5	ExprTuple	9
6	Operation	operator: 26 operands: 10
7	Operation	operator: 26 operands: 11
8	Operation	operator: 26 operands: 12
9	ExprRange	lambda_map: 13 start_index: 29 end_index: 14
10	ExprTuple	24, 15, 29
11	ExprTuple	28, 15, 29
12	ExprTuple	16, 17, 29
13	Lambda	parameter: 23 body: 23
14	Literal
15	Operation	operator: 21 operand: 29
16	Operation	operator: 26 operands: 20
17	Operation	operator: 21 operand: 25
18	ExprTuple	23
19	ExprTuple	29
20	ExprTuple	28, 24
21	Literal
22	ExprTuple	25
23	Variable
24	Literal
25	Operation	operator: 26 operands: 27
26	Literal
27	ExprTuple	28, 29
28	Literal
29	Literal