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, Floor, Mult, Neg, frac, one, three, two
from proveit.physics.quantum.QPE import _phase, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = frac(one, two)
sub_expr3 = Mult(_two_pow_t, _phase)
expr = ExprTuple(Len(operands = [sub_expr3, sub_expr2, Neg(Floor(Add(sub_expr3, sub_expr2)))]), 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(2^{t} \cdot \varphi, \frac{1}{2}, -\left\lfloor \left(2^{t} \cdot \varphi\right) + \frac{1}{2}\right\rfloor\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	20, 21, 6
4	Literal
5	ExprTuple	7
6	Operation	operator: 8 operand: 12
7	ExprRange	lambda_map: 10 start_index: 28 end_index: 11
8	Literal
9	ExprTuple	12
10	Lambda	parameter: 16 body: 16
11	Literal
12	Operation	operator: 14 operand: 17
13	ExprTuple	16
14	Literal
15	ExprTuple	17
16	Variable
17	Operation	operator: 18 operands: 19
18	Literal
19	ExprTuple	20, 21
20	Operation	operator: 22 operands: 23
21	Operation	operator: 24 operands: 25
22	Literal
23	ExprTuple	26, 27
24	Literal
25	ExprTuple	28, 31
26	Operation	operator: 29 operands: 30
27	Literal
28	Literal
29	Literal
30	ExprTuple	31, 32
31	Literal
32	Literal