Expression of type Lambda

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, Lambda, N, Variable, m
from proveit.core_expr_types import A_1_to_m
from proveit.linear_algebra import TensorProd
from proveit.numbers import Interval, one
from proveit.physics.quantum.circuits import Input, MultiQubitElem

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
expr = Lambda(sub_expr1, MultiQubitElem(element = Input(state = TensorProd(A_1_to_m), part = sub_expr1), targets = Interval(one, IndexedVar(N, m))))

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())

{_{-}b} \mapsto \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~{_{-}b}~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} & \qw 
} \end{array}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Lambda	parameter: 12 body: 2
1	ExprTuple	12
2	Operation	operator: 3 operands: 4
3	Literal
4	NamedExprs	element: 5 targets: 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 9 operands: 10
7	Literal
8	NamedExprs	state: 11 part: 12
9	Literal
10	ExprTuple	20, 13
11	Operation	operator: 14 operands: 15
12	Variable
13	IndexedVar	variable: 16 index: 21
14	Literal
15	ExprTuple	18
16	Variable
17	ExprTuple	21
18	ExprRange	lambda_map: 19 start_index: 20 end_index: 21
19	Lambda	parameter: 25 body: 22
20	Literal
21	Variable
22	IndexedVar	variable: 23 index: 25
23	Variable
24	ExprTuple	25
25	Variable