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 B, Function, IndexedVar, NamedExprs, S, Variable, p
from proveit.logic import InvImage

# build up the expression from sub-expressions
sub_expr1 = [Function(p, [Variable("_b", latex_format = r"{_{-}b}")]), Variable("_a", latex_format = r"{_{-}a}")]
expr = NamedExprs(("element", IndexedVar(B, sub_expr1)), ("targets", Function(InvImage(p), [IndexedVar(S, sub_expr1)])))

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}: B_{p\left({_{-}b}\right), {_{-}a}}\\
{\rm targets}: p^{\leftarrow}\left(S_{p\left({_{-}b}\right), {_{-}a}}\right)\\
\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	IndexedVar	variable: 3 indices: 10
2	Operation	operator: 4 operand: 8
3	Variable
4	Operation	operator: 6 operand: 13
5	ExprTuple	8
6	Literal
7	ExprTuple	13
8	IndexedVar	variable: 9 indices: 10
9	Variable
10	ExprTuple	11, 12
11	Operation	operator: 13 operand: 15
12	Variable
13	Variable
14	ExprTuple	15
15	Variable