Expression of type ExprArray

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, B, ExprArray, ExprRange, IndexedVar, Variable, 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}")
sub_expr3 = [sub_expr1, sub_expr2]
expr = ExprArray(ExprRange(sub_expr1, ExprRange(sub_expr2, [IndexedVar(A, sub_expr3), IndexedVar(B, sub_expr3)], one, n), one, 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())

\begin{array}{cc} 
 A_{1, 1} & B_{1, 1} \\
A_{1, 2} & B_{1, 2} \\
\vdots & \vdots \\
A_{1, n} & B_{1, n} \\
A_{2, 1} & B_{2, 1} \\
A_{2, 2} & B_{2, 2} \\
\vdots & \vdots \\
A_{2, n} & B_{2, n} \\
\begin{array}{c}\vdots\\ \vdots\end{array} & \begin{array}{c}\vdots\\ \vdots\end{array} \\
A_{m, 1} & B_{m, 1} \\
A_{m, 2} & B_{m, 2} \\
\vdots & \vdots \\
A_{m, n} & B_{m, n} \\
\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: 16 body: 5
3	Variable
4	ExprTuple	16
5	ExprRange	lambda_map: 6 start_index: 7 end_index: 8
6	Lambda	parameter: 17 body: 10
7	Literal
8	Variable
9	ExprTuple	17
10	ExprTuple	11, 12
11	IndexedVar	variable: 13 indices: 15
12	IndexedVar	variable: 14 indices: 15
13	Variable
14	Variable
15	ExprTuple	16, 17
16	Variable
17	Variable