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, l
from proveit.logic import And, InSet, NotEquals, Set
from proveit.numbers import Integer, Mult, zero
from proveit.physics.quantum.QPE import _b_floor, _b_round, _delta_b, _two_pow_t

# build up the expression from sub-expressions
expr = Conditional(NotEquals(Mult(_two_pow_t, _delta_b), l), And(InSet(b, Set(_b_floor, _b_round)), InSet(l, Integer), NotEquals(l, zero)))

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^{t} \cdot \delta_{b}\right) \neq l \textrm{ if } b \in \left\{b_{\textit{f}}, b_{\textit{r}}\right\} ,  l \in \mathbb{Z} ,  l \neq 0\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: 15 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 21
4	Literal
5	ExprTuple	7, 8, 9
6	Operation	operator: 10 operands: 11
7	Operation	operator: 13 operands: 12
8	Operation	operator: 13 operands: 14
9	Operation	operator: 15 operands: 16
10	Literal
11	ExprTuple	17, 18
12	ExprTuple	31, 19
13	Literal
14	ExprTuple	21, 20
15	Literal
16	ExprTuple	21, 22
17	Operation	operator: 23 operands: 24
18	Operation	operator: 25 operand: 31
19	Operation	operator: 27 operands: 28
20	Literal
21	Variable
22	Literal
23	Literal
24	ExprTuple	29, 30
25	Literal
26	ExprTuple	31
27	Literal
28	ExprTuple	32, 33
29	Literal
30	Literal
31	Variable
32	Literal
33	Literal