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.numbers import Add, Neg, one, two, zero
from proveit.physics.quantum.QPE import _s

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

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(0,\left(\left(-t + 1\right) + t\right), \left(\left(-t + 2\right) + t\right), \ldots, \left(0 + t\right), t + s\right), \left(0,\left(\left(-t + 2\right) - 1 + t\right), \left(\left(-t + 3\right) - 1 + t\right), \ldots, \left(1 - 1 + t\right), t + s\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	ExprTuple	8, 3, 5
2	ExprTuple	8, 4, 5
3	ExprRange	lambda_map: 6 start_index: 7 end_index: 8
4	ExprRange	lambda_map: 9 start_index: 10 end_index: 29
5	Operation	operator: 19 operands: 11
6	Lambda	parameter: 23 body: 12
7	Operation	operator: 19 operands: 13
8	Literal
9	Lambda	parameter: 23 body: 15
10	Operation	operator: 19 operands: 16
11	ExprTuple	28, 17
12	Operation	operator: 19 operands: 18
13	ExprTuple	21, 29
14	ExprTuple	23
15	Operation	operator: 19 operands: 20
16	ExprTuple	21, 22
17	Literal
18	ExprTuple	23, 28
19	Literal
20	ExprTuple	23, 24, 28
21	Operation	operator: 26 operand: 28
22	Literal
23	Variable
24	Operation	operator: 26 operand: 29
25	ExprTuple	28
26	Literal
27	ExprTuple	29
28	Variable
29	Literal