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, t
from proveit.linear_algebra import Norm
from proveit.logic import And, CartExp, Equals, InSet
from proveit.numbers import Complex, NaturalPos, one
from proveit.physics.quantum.QPE import _psi_t_ket, two_pow_t

# build up the expression from sub-expressions
expr = Conditional(And(InSet(_psi_t_ket, CartExp(Complex, two_pow_t)), Equals(Norm(_psi_t_ket), one)), InSet(t, NaturalPos))

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(\lvert \psi_{t} \rangle \in \mathbb{C}^{2^{t}}\right) \land \left(\left \|\lvert \psi_{t} \rangle\right \| = 1\right) \textrm{ if } t \in \mathbb{N}^+\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: 9 operands: 5
3	Literal
4	ExprTuple	6, 7
5	ExprTuple	28, 8
6	Operation	operator: 9 operands: 10
7	Operation	operator: 11 operands: 12
8	Literal
9	Literal
10	ExprTuple	22, 13
11	Literal
12	ExprTuple	14, 15
13	Operation	operator: 16 operands: 17
14	Operation	operator: 18 operand: 22
15	Literal
16	Literal
17	ExprTuple	20, 21
18	Literal
19	ExprTuple	22
20	Literal
21	Operation	operator: 23 operands: 24
22	Operation	operator: 25 operand: 28
23	Literal
24	ExprTuple	27, 28
25	Literal
26	ExprTuple	28
27	Literal
28	Variable