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 ExprTuple, l
from proveit.numbers import Abs, Exp, Mult, Neg, frac, one, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t, _two_pow_t

# build up the expression from sub-expressions
sub_expr1 = Neg(one)
sub_expr2 = Exp(two, Neg(_t))
sub_expr3 = Abs(subtract(_delta_b_floor, Mult(l, sub_expr2)))
expr = ExprTuple(Exp(Mult(two, _two_pow_t, sub_expr3), sub_expr1), Mult(frac(one, two), sub_expr2, Exp(sub_expr3, sub_expr1)))

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 \cdot 2^{t} \cdot \left|\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\right|\right)^{-1}, \frac{1}{2} \cdot 2^{-t} \cdot \left|\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\right|^{-1}\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: 34 operands: 3
2	Operation	operator: 30 operands: 4
3	ExprTuple	5, 14
4	ExprTuple	6, 33, 7
5	Operation	operator: 30 operands: 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 34 operands: 11
8	ExprTuple	36, 12, 13
9	Literal
10	ExprTuple	20, 36
11	ExprTuple	13, 14
12	Operation	operator: 34 operands: 15
13	Operation	operator: 16 operand: 19
14	Operation	operator: 38 operand: 20
15	ExprTuple	36, 40
16	Literal
17	ExprTuple	19
18	ExprTuple	20
19	Operation	operator: 21 operands: 22
20	Literal
21	Literal
22	ExprTuple	23, 24
23	Operation	operator: 25 operand: 28
24	Operation	operator: 38 operand: 29
25	Literal
26	ExprTuple	28
27	ExprTuple	29
28	Literal
29	Operation	operator: 30 operands: 31
30	Literal
31	ExprTuple	32, 33
32	Variable
33	Operation	operator: 34 operands: 35
34	Literal
35	ExprTuple	36, 37
36	Literal
37	Operation	operator: 38 operand: 40
38	Literal
39	ExprTuple	40
40	Literal