Expression of type ExprTuple

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, ExprTuple, Lambda, 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 = ExprTuple(Lambda(n, 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(n \mapsto \left\{{\mathrm {FT}}^{\dag}_{n} \in \textrm{U}\left(2^{n}\right) \textrm{ if } n \in \mathbb{N}^+\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 19 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	19, 10
8	Operation	operator: 11 operand: 19
9	Operation	operator: 13 operand: 15
10	Literal
11	Literal
12	ExprTuple	19
13	Literal
14	ExprTuple	15
15	Operation	operator: 16 operands: 17
16	Literal
17	ExprTuple	18, 19
18	Literal
19	Variable