Expression of type QcircuitEquiv

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.physics.quantum.circuits import QcircuitEquiv, circuit_compressed_inputAm, circuit_expanded_inputBm

# build up the expression from sub-expressions
expr = QcircuitEquiv(circuit_compressed_inputAm, circuit_expanded_inputBm)

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{
\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)

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

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