Expression of type Conditional

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 Conditional, b
from proveit.logic import InSet, Set
from proveit.numbers import IntervalOC, Neg, frac, one, two
from proveit.physics.quantum.QPE import _b_floor, _b_round, _delta_b

# build up the expression from sub-expressions
sub_expr1 = frac(one, two)
expr = Conditional(InSet(_delta_b, IntervalOC(Neg(sub_expr1), sub_expr1)), InSet(b, Set(_b_floor, _b_round)))

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\{\delta_{b} \in \left(-\frac{1}{2},\frac{1}{2}\right] \textrm{ if } b \in \left\{b_{\textit{f}}, b_{\textit{r}}\right\}\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	15, 8
6	Operation	operator: 9 operand: 15
7	Operation	operator: 11 operands: 12
8	Operation	operator: 13 operands: 14
9	Literal
10	ExprTuple	15
11	Literal
12	ExprTuple	16, 21
13	Literal
14	ExprTuple	17, 18
15	Variable
16	Operation	operator: 19 operand: 21
17	Literal
18	Literal
19	Literal
20	ExprTuple	21
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Literal