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, l
from proveit.core_expr_types import Len
from proveit.numbers import Abs, Exp, Mult, Neg, e, i, one, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(Len(operands = [Abs(one), Abs(Neg(Exp(e, Mult(two, pi, i, subtract(Mult(_two_pow_t, _delta_b_floor), l)))))]), Len(operands = [ExprRange(sub_expr1, sub_expr1, one, two)]))

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(\left|1\right|, \left|-\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \left(\left(2^{t} \cdot \delta_{b_{\textit{f}}}\right) - l\right)}\right|\right)|, |\left(1, \ldots, 2\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	6, 7
4	Literal
5	ExprTuple	8
6	Operation	operator: 10 operand: 13
7	Operation	operator: 10 operand: 14
8	ExprRange	lambda_map: 12 start_index: 13 end_index: 41
9	ExprTuple	13
10	Literal
11	ExprTuple	14
12	Lambda	parameter: 17 body: 17
13	Literal
14	Operation	operator: 32 operand: 18
15	ExprTuple	17
16	ExprTuple	18
17	Variable
18	Operation	operator: 37 operands: 19
19	ExprTuple	20, 21
20	Literal
21	Operation	operator: 30 operands: 22
22	ExprTuple	41, 23, 24, 25
23	Literal
24	Literal
25	Operation	operator: 26 operands: 27
26	Literal
27	ExprTuple	28, 29
28	Operation	operator: 30 operands: 31
29	Operation	operator: 32 operand: 36
30	Literal
31	ExprTuple	34, 35
32	Literal
33	ExprTuple	36
34	Operation	operator: 37 operands: 38
35	Operation	operator: 39 operand: 43
36	Variable
37	Literal
38	ExprTuple	41, 42
39	Literal
40	ExprTuple	43
41	Literal
42	Literal
43	Literal