Expression of type ExprTuple

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, ExprRange, ExprTuple, Function, IndexedVar, S, Variable, k, p
from proveit.logic import InvImage
from proveit.numbers import one
from proveit.physics.quantum.circuits import MultiQubitElem

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [Function(p, [Variable("_b", latex_format = r"{_{-}b}")]), sub_expr1]
expr = ExprTuple(ExprRange(sub_expr1, MultiQubitElem(element = IndexedVar(B, sub_expr2), targets = Function(InvImage(p), [IndexedVar(S, sub_expr2)])), one, 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}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{p\left({_{-}b}\right), 1}~\mbox{on}~p^{\leftarrow}\left(S_{p\left({_{-}b}\right), 1}\right)} & \qw 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{p\left({_{-}b}\right), 2}~\mbox{on}~p^{\leftarrow}\left(S_{p\left({_{-}b}\right), 2}\right)} & \qw 
} \end{array}, \ldots, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{p\left({_{-}b}\right), k}~\mbox{on}~p^{\leftarrow}\left(S_{p\left({_{-}b}\right), k}\right)} & \qw 
} \end{array}\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	ExprRange	lambda_map: 2 start_index: 3 end_index: 4
2	Lambda	parameter: 20 body: 6
3	Literal
4	Variable
5	ExprTuple	20
6	Operation	operator: 7 operands: 8
7	Literal
8	NamedExprs	element: 9 targets: 10
9	IndexedVar	variable: 11 indices: 18
10	Operation	operator: 12 operand: 16
11	Variable
12	Operation	operator: 14 operand: 21
13	ExprTuple	16
14	Literal
15	ExprTuple	21
16	IndexedVar	variable: 17 indices: 18
17	Variable
18	ExprTuple	19, 20
19	Operation	operator: 21 operand: 23
20	Variable
21	Variable
22	ExprTuple	23
23	Variable