Expression of type VertExprArray

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, B, C, ExprRange, IndexedVar, Variable, VertExprArray, j, k, l
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = VertExprArray(ExprRange(sub_expr1, IndexedVar(A, sub_expr1), one, j), ExprRange(sub_expr1, IndexedVar(B, sub_expr1), one, k), ExprRange(sub_expr1, IndexedVar(C, 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())

\begin{array}{cccccccccccc} 
 \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{1} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{2} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ \cdots \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{j} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ B_{1} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ B_{2} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ \cdots \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ B_{k} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ C_{1} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ C_{2} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ \cdots \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ C_{l} \\ \downarrow \end{array}$} \\
\end{array}

stored_expr.style_options()

name	description	default	current value	related methods
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	with_justification

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2, 3
1	ExprRange	lambda_map: 4 start_index: 9 end_index: 5
2	ExprRange	lambda_map: 6 start_index: 9 end_index: 7
3	ExprRange	lambda_map: 8 start_index: 9 end_index: 10
4	Lambda	parameter: 18 body: 11
5	Variable
6	Lambda	parameter: 18 body: 12
7	Variable
8	Lambda	parameter: 18 body: 13
9	Literal
10	Variable
11	IndexedVar	variable: 14 index: 18
12	IndexedVar	variable: 15 index: 18
13	IndexedVar	variable: 16 index: 18
14	Variable
15	Variable
16	Variable
17	ExprTuple	18
18	Variable