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 = Add(sub_expr1, t)
sub_expr3 = Neg(t)
sub_expr4 = Add(t, _s)
expr = ExprTuple([zero, one, ExprRange(sub_expr1, sub_expr2, Add(sub_expr3, two), zero), sub_expr4], [zero, ExprRange(sub_expr1, sub_expr2, Add(sub_expr3, one), zero), sub_expr4])

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