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
from proveit.core_expr_types import B_1_to_m
from proveit.linear_algebra import TensorProd
from proveit.logic import Equals
from proveit.physics.quantum.circuits import QcircuitEquiv, circuit_compressed_inputAm, circuit_expanded_inputBm

# build up the expression from sub-expressions
expr = ExprTuple(QcircuitEquiv(circuit_compressed_inputAm, circuit_expanded_inputBm), 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(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{A} & { /^{m} } \qw
} \end{array}\right) \cong \left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{B_{1}} & \qw \\
\qin{B_{2}} & \qw \\
\qin{\vdots} & \qw \\
\qin{B_{m}} & \qw
} \end{array}\right), A = \left(B_{1} {\otimes}  B_{2} {\otimes}  \ldots {\otimes}  B_{m}\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7, 8
5	Literal
6	ExprTuple	37, 9
7	Operation	operator: 11 operand: 15
8	Operation	operator: 11 operand: 16
9	Operation	operator: 13 operands: 14
10	ExprTuple	15
11	Literal
12	ExprTuple	16
13	Literal
14	ExprTuple	17
15	ExprTuple	18
16	ExprTuple	19
17	ExprRange	lambda_map: 20 start_index: 38 end_index: 39
18	ExprRange	lambda_map: 21 start_index: 38 end_index: 39
19	ExprRange	lambda_map: 22 start_index: 38 end_index: 39
20	Lambda	parameter: 40 body: 30
21	Lambda	parameter: 40 body: 23
22	Lambda	parameter: 40 body: 24
23	Operation	operator: 25 operands: 26
24	Operation	operator: 31 operands: 27
25	Literal
26	NamedExprs	element: 28 targets: 29
27	NamedExprs	state: 30
28	Operation	operator: 31 operands: 32
29	Operation	operator: 33 operands: 34
30	IndexedVar	variable: 35 index: 40
31	Literal
32	NamedExprs	state: 37 part: 40
33	Literal
34	ExprTuple	38, 39
35	Variable
36	ExprTuple	40
37	Variable
38	Literal
39	Variable
40	Variable