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, U, Variable, s, t
from proveit.linear_algebra import MatrixExp
from proveit.numbers import Add, Exp, Interval, Neg, one, two
from proveit.physics.quantum.circuits import Gate

# build up the expression from sub-expressions
expr = NamedExprs(("element", Gate(operation = MatrixExp(U, Exp(two, Neg(Variable("_b", latex_format = r"{_{-}b}")))), part = Variable("_a", latex_format = r"{_{-}a}"))), ("targets", Interval(Add(t, one), Add(t, s))))

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 element}: \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U^{2^{-{_{-}b}}}~\mbox{part}~{_{-}a}} & \qw 
} \end{array}\\
{\rm targets}: \{t + 1~\ldotp \ldotp~t + s\}\\
\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	element: 1 targets: 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	NamedExprs	operation: 7 part: 8
5	Literal
6	ExprTuple	9, 10
7	Operation	operator: 11 operands: 12
8	Variable
9	Operation	operator: 14 operands: 13
10	Operation	operator: 14 operands: 15
11	Literal
12	ExprTuple	16, 17
13	ExprTuple	19, 18
14	Literal
15	ExprTuple	19, 20
16	Variable
17	Operation	operator: 21 operands: 22
18	Literal
19	Variable
20	Variable
21	Literal
22	ExprTuple	23, 24
23	Literal
24	Operation	operator: 25 operand: 27
25	Literal
26	ExprTuple	27
27	Variable