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, m
from proveit.logic import Equals, InSet
from proveit.physics.quantum import NumBra, Qmult
from proveit.physics.quantum.QPE import _Psi_ket, _alpha_m, _m_domain, _t

# build up the expression from sub-expressions
expr = Conditional(Equals(_alpha_m, Qmult(NumBra(m, _t), _Psi_ket)), InSet(m, _m_domain))

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\{\alpha_{m} = \left({_{t}}\langle m \rvert \thinspace \lvert \Psi \rangle\right) \textrm{ if } m \in \{0~\ldotp \ldotp~2^{t} - 1\}\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	24, 9
7	Operation	operator: 10 operand: 24
8	Operation	operator: 12 operands: 13
9	Operation	operator: 14 operands: 15
10	Literal
11	ExprTuple	24
12	Literal
13	ExprTuple	16, 17
14	Literal
15	ExprTuple	18, 19
16	Operation	operator: 20 operands: 21
17	Literal
18	Literal
19	Operation	operator: 22 operands: 23
20	Literal
21	ExprTuple	24, 32
22	Literal
23	ExprTuple	25, 26
24	Variable
25	Operation	operator: 27 operands: 28
26	Operation	operator: 29 operand: 33
27	Literal
28	ExprTuple	31, 32
29	Literal
30	ExprTuple	33
31	Literal
32	Literal
33	Literal