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, NotInSet, Set
from proveit.numbers import Integer, frac, subtract, zero
from proveit.physics.quantum.QPE import _b_floor, _b_round, _delta_b, _full_domain, _two_pow_t

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

# 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} - \frac{l}{2^{t}}\right) \notin \mathbb{Z} \textrm{ if } b \in \left\{b_{\textit{f}}, b_{\textit{r}}\right\} ,  l \in \{-2^{t - 1} + 1~\ldotp \ldotp~2^{t - 1}\} ,  l \neq 0\right..

stored_expr.style_options()

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions
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	9, 10, 11
7	Operation	operator: 48 operands: 12
8	Literal
9	Operation	operator: 14 operands: 13
10	Operation	operator: 14 operands: 15
11	Operation	operator: 16 operands: 17
12	ExprTuple	18, 19
13	ExprTuple	30, 20
14	Literal
15	ExprTuple	38, 21
16	Literal
17	ExprTuple	38, 22
18	Operation	operator: 23 operand: 30
19	Operation	operator: 52 operand: 31
20	Operation	operator: 26 operands: 27
21	Operation	operator: 28 operands: 29
22	Literal
23	Literal
24	ExprTuple	30
25	ExprTuple	31
26	Literal
27	ExprTuple	32, 33
28	Literal
29	ExprTuple	34, 43
30	Variable
31	Operation	operator: 35 operands: 36
32	Literal
33	Literal
34	Operation	operator: 48 operands: 37
35	Literal
36	ExprTuple	38, 39
37	ExprTuple	40, 54
38	Variable
39	Operation	operator: 44 operands: 41
40	Operation	operator: 52 operand: 43
41	ExprTuple	46, 50
42	ExprTuple	43
43	Operation	operator: 44 operands: 45
44	Literal
45	ExprTuple	46, 47
46	Literal
47	Operation	operator: 48 operands: 49
48	Literal
49	ExprTuple	50, 51
50	Literal
51	Operation	operator: 52 operand: 54
52	Literal
53	ExprTuple	54
54	Literal

Expression of type Conditional¶

from the theory of proveit.physics.quantum.QPE¶

Expression of type Conditional ¶

from the theory of proveit.physics.quantum.QPE ¶