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, C, D, ExprArray, ExprRange, IndexedVar, Variable, j, m
from proveit.numbers import one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [sub_expr1, j]
expr = ExprArray(ExprRange(sub_expr1, [IndexedVar(A, sub_expr2), IndexedVar(B, sub_expr2), IndexedVar(C, sub_expr2), IndexedVar(D, sub_expr2)], one, m).with_explicit_parameterization(), [D, C, B, A])

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}{cccc} 
 A_{1, j} & B_{1, j} & C_{1, j} & D_{1, j} \\
A_{2, j} & B_{2, j} & C_{2, j} & D_{2, j} \\
\begin{array}{c}:\\ A_{{_{-}a}, j} \\:\end{array} & \begin{array}{c}:\\ B_{{_{-}a}, j} \\:\end{array} & \begin{array}{c}:\\ C_{{_{-}a}, j} \\:\end{array} & \begin{array}{c}:\\ D_{{_{-}a}, j} \\:\end{array} \\
A_{m, j} & B_{m, j} & C_{m, j} & D_{m, j} \\
D & C & B & A \\
\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
1	ExprRange	lambda_map: 3 start_index: 4 end_index: 5
2	ExprTuple	15, 14, 13, 12
3	Lambda	parameter: 17 body: 7
4	Literal
5	Variable
6	ExprTuple	17
7	ExprTuple	8, 9, 10, 11
8	IndexedVar	variable: 12 indices: 16
9	IndexedVar	variable: 13 indices: 16
10	IndexedVar	variable: 14 indices: 16
11	IndexedVar	variable: 15 indices: 16
12	Variable
13	Variable
14	Variable
15	Variable
16	ExprTuple	17, 18
17	Variable
18	Variable