Expression of type NamedExprs

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 NamedExprs, Variable, t
from proveit.numbers import Mod, Mult, Round
from proveit.physics.quantum import NumKet
from proveit.physics.quantum.QPE import phase, two_pow_t

# build up the expression from sub-expressions
expr = NamedExprs(("state", NumKet(Mod(Round(Mult(two_pow_t, phase)), two_pow_t), t)), ("part", Variable("_a", latex_format = r"{_{-}a}")))

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\{ \begin{array}{l}
{\rm state}: \lvert round\left(2^{t} \cdot \varphi\right) ~\textup{mod}~ 2^{t} \rangle_{t}\\
{\rm part}: {_{-}a}\\
\end{array} \right\}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	NamedExprs	state: 1 part: 2
1	Operation	operator: 3 operands: 4
2	Variable
3	Literal
4	ExprTuple	5, 19
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	8, 14
8	Operation	operator: 9 operand: 11
9	Literal
10	ExprTuple	11
11	Operation	operator: 12 operands: 13
12	Literal
13	ExprTuple	14, 15
14	Operation	operator: 16 operands: 17
15	Variable
16	Literal
17	ExprTuple	18, 19
18	Literal
19	Variable