Expression of type NamedExprs

from the theory of proveit.physics.quantum.circuits

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 IndexedVar, N, NamedExprs, Variable, k
from proveit.core_expr_types import A_k
from proveit.numbers import Add, Interval, one, subtract
from proveit.physics.quantum.circuits import Output

# build up the expression from sub-expressions
expr = NamedExprs(("element", Output(state = A_k, part = Variable("_a", latex_format = r"{_{-}a}"))), ("targets", Interval(Add(IndexedVar(N, subtract(k, one)), one), IndexedVar(N, k))))

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{
& & \qout{A_{k}~\mbox{part}~{_{-}a}} 
} \end{array}\\
{\rm targets}: \{N_{k - 1} + 1~\ldotp \ldotp~N_{k}\}\\
\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	state: 7 part: 8
5	Literal
6	ExprTuple	9, 10
7	IndexedVar	variable: 11 index: 20
8	Variable
9	Operation	operator: 18 operands: 12
10	IndexedVar	variable: 15 index: 20
11	Variable
12	ExprTuple	14, 24
13	ExprTuple	20
14	IndexedVar	variable: 15 index: 17
15	Variable
16	ExprTuple	17
17	Operation	operator: 18 operands: 19
18	Literal
19	ExprTuple	20, 21
20	Variable
21	Operation	operator: 22 operand: 24
22	Literal
23	ExprTuple	24
24	Literal