Expression of type VertExprArray

from the theory of proveit.core_expr_types.expr_arrays

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, IndexedVar, Variable, VertExprArray, m, n
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr2 = Variable("_a", latex_format = r"{_{-}a}")
expr = VertExprArray(ExprRange(sub_expr1, ExprRange(sub_expr2, IndexedVar(A, [sub_expr1, sub_expr2]), one, n), one, m).with_explicit_parameterization())

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}{ccccccccccccc} 
 \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{1, 1} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{1, 2} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ \cdots \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{1, n} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{2, 1} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{2, 2} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ \cdots \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{2, n} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ \cdot \cdot \cdot \cdot \begin{array}{cccc} 
 A_{{_{-}b}, 1} & A_{{_{-}b}, 2} & \cdots & A_{{_{-}b}, n} \\
\end{array}
 \cdot \cdot \cdot \cdot \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{m, 1} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{m, 2} \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ \cdots \\ \downarrow \end{array}$} & \multirow{1}{*}{$\begin{array}{c} \uparrow \\ A_{m, n} \\ \downarrow \end{array}$} \\
\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
1	ExprRange	lambda_map: 2 start_index: 7 end_index: 3
2	Lambda	parameter: 13 body: 5
3	Variable
4	ExprTuple	13
5	ExprRange	lambda_map: 6 start_index: 7 end_index: 8
6	Lambda	parameter: 14 body: 10
7	Literal
8	Variable
9	ExprTuple	14
10	IndexedVar	variable: 11 indices: 12
11	Variable
12	ExprTuple	13, 14
13	Variable
14	Variable