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, ExprRange, ExprTuple, IndexedVar, Variable, l, m
from proveit.numbers import one
from proveit.physics.quantum import I
from proveit.physics.quantum.circuits import Gate

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, Gate(operation = I).with_implicit_representation(), one, m), ExprRange(sub_expr1, IndexedVar(A, [Variable("_b", latex_format = r"{_{-}b}"), sub_expr1]), one, l))

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{
& & \qw & \qw 
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qw & \qw 
} \end{array}, ..\left(m - 3\right) \times.., \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qw & \qw 
} \end{array},A_{{_{-}b}, 1}, A_{{_{-}b}, 2}, \ldots, A_{{_{-}b}, l}\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	ExprRange	lambda_map: 3 start_index: 6 end_index: 4
2	ExprRange	lambda_map: 5 start_index: 6 end_index: 7
3	Lambda	parameter: 17 body: 8
4	Variable
5	Lambda	parameter: 17 body: 10
6	Literal
7	Variable
8	Operation	operator: 11 operands: 12
9	ExprTuple	17
10	IndexedVar	variable: 13 indices: 14
11	Literal
12	NamedExprs	operation: 15
13	Variable
14	ExprTuple	16, 17
15	Literal
16	Variable
17	Variable