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, four, frac, subtract, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t, _two_pow_t

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

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