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(Mult(one, Exp(Mult(two, _two_pow_t, sub_expr3), sub_expr1)), Mult(one, 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(1 \cdot \left(2 \cdot 2^{t} \cdot \left|\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\right|\right)^{-1}, 1 \cdot \left(\frac{1}{2} \cdot 2^{-t} \cdot \left|\delta_{b_{\textit{f}}} - \left(l \cdot 2^{-t}\right)\right|^{-1}\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: 34 operands: 3
2	Operation	operator: 34 operands: 4
3	ExprTuple	24, 5
4	ExprTuple	24, 6
5	Operation	operator: 38 operands: 7
6	Operation	operator: 34 operands: 8
7	ExprTuple	9, 18
8	ExprTuple	10, 37, 11
9	Operation	operator: 34 operands: 12
10	Operation	operator: 13 operands: 14
11	Operation	operator: 38 operands: 15
12	ExprTuple	40, 16, 17
13	Literal
14	ExprTuple	24, 40
15	ExprTuple	17, 18
16	Operation	operator: 38 operands: 19
17	Operation	operator: 20 operand: 23
18	Operation	operator: 42 operand: 24
19	ExprTuple	40, 44
20	Literal
21	ExprTuple	23
22	ExprTuple	24
23	Operation	operator: 25 operands: 26
24	Literal
25	Literal
26	ExprTuple	27, 28
27	Operation	operator: 29 operand: 32
28	Operation	operator: 42 operand: 33
29	Literal
30	ExprTuple	32
31	ExprTuple	33
32	Literal
33	Operation	operator: 34 operands: 35
34	Literal
35	ExprTuple	36, 37
36	Variable
37	Operation	operator: 38 operands: 39
38	Literal
39	ExprTuple	40, 41
40	Literal
41	Operation	operator: 42 operand: 44
42	Literal
43	ExprTuple	44
44	Literal