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.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}")
expr = ExprTuple(Len(operands = [one, ExprRange(sub_expr1, one, Add(Neg(t), two), zero).with_decreasing_order(), _s]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, Add(t, one))]))

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