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 A, ExprTuple, Lambda
from proveit.core_expr_types import B_1_to_m
from proveit.linear_algebra import TensorProd
from proveit.logic import Equals, Iff
from proveit.physics.quantum.circuits import QcircuitEquiv, circuit_compressed_outputAm, circuit_expanded_outputBm

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([A, B_1_to_m], Iff(QcircuitEquiv(circuit_compressed_outputAm, circuit_expanded_outputBm), Equals(A, TensorProd(B_1_to_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())

\left(\left(A, B_{1}, B_{2}, \ldots, B_{m}\right) \mapsto \left(\left(\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qout{A}
} \end{array}\right) \cong \left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qout{B_{1}} \\
& \qout{B_{2}} \\
& \qout{\vdots} \\
& \qout{B_{m}}
} \end{array}\right)\right) \Leftrightarrow \left(A = \left(B_{1} {\otimes}  B_{2} {\otimes}  \ldots {\otimes}  B_{m}\right)\right)\right)\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	Lambda	parameters: 2 body: 3
2	ExprTuple	42, 22
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	Operation	operator: 8 operands: 9
7	Operation	operator: 10 operands: 11
8	Literal
9	ExprTuple	12, 13
10	Literal
11	ExprTuple	42, 14
12	Operation	operator: 16 operand: 20
13	Operation	operator: 16 operand: 21
14	Operation	operator: 18 operands: 19
15	ExprTuple	20
16	Literal
17	ExprTuple	21
18	Literal
19	ExprTuple	22
20	ExprTuple	23
21	ExprTuple	24
22	ExprRange	lambda_map: 25 start_index: 43 end_index: 44
23	ExprRange	lambda_map: 26 start_index: 43 end_index: 44
24	ExprRange	lambda_map: 27 start_index: 43 end_index: 44
25	Lambda	parameter: 45 body: 35
26	Lambda	parameter: 45 body: 28
27	Lambda	parameter: 45 body: 29
28	Operation	operator: 30 operands: 31
29	Operation	operator: 36 operands: 32
30	Literal
31	NamedExprs	element: 33 targets: 34
32	NamedExprs	state: 35
33	Operation	operator: 36 operands: 37
34	Operation	operator: 38 operands: 39
35	IndexedVar	variable: 40 index: 45
36	Literal
37	NamedExprs	state: 42 part: 45
38	Literal
39	ExprTuple	43, 44
40	Variable
41	ExprTuple	45
42	Variable
43	Literal
44	Variable
45	Variable