Expression of type Conditional

from the theory of proveit.physics.quantum.QFT

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, n
from proveit.linear_algebra import Unitary
from proveit.logic import InSet
from proveit.numbers import Exp, NaturalPos, two
from proveit.physics.quantum.QFT import InverseFourierTransform

# build up the expression from sub-expressions
expr = Conditional(InSet(InverseFourierTransform(n), Unitary(Exp(two, n))), InSet(n, 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\{{\mathrm {FT}}^{\dag}_{n} \in \textrm{U}\left(2^{n}\right) \textrm{ if } n \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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	17, 8
6	Operation	operator: 9 operand: 17
7	Operation	operator: 11 operand: 13
8	Literal
9	Literal
10	ExprTuple	17
11	Literal
12	ExprTuple	13
13	Operation	operator: 14 operands: 15
14	Literal
15	ExprTuple	16, 17
16	Literal
17	Variable