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 Equals, InSet, NotInSet, Or, Set
from proveit.numbers import Integer, zero
from proveit.physics.quantum.QPE import _b_floor, _b_round, _delta_b

# build up the expression from sub-expressions
expr = Conditional(Or(Equals(_delta_b, zero), NotInSet(_delta_b, Integer)), 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\{\left(\delta_{b} = 0\right) \lor \left(\delta_{b} \notin \mathbb{Z}\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: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7, 8
5	Literal
6	ExprTuple	23, 9
7	Operation	operator: 10 operands: 11
8	Operation	operator: 12 operands: 13
9	Operation	operator: 14 operands: 15
10	Literal
11	ExprTuple	17, 16
12	Literal
13	ExprTuple	17, 18
14	Literal
15	ExprTuple	19, 20
16	Literal
17	Operation	operator: 21 operand: 23
18	Literal
19	Literal
20	Literal
21	Literal
22	ExprTuple	23
23	Variable