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, k, m, p
from proveit.numbers import one

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

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())

ExprArray\left(\begin{array}{c} \left(A, B, C, D\right), \\ \left(\left(A_{p, j}, B_{1, j}\right), \left(C_{j, k}, D_{k, 1}\right)\right),  \\ \left(\left(A_{p, j}, B_{2, j}\right), \left(C_{j, k}, D_{k, 2}\right)\right), \ldots, \left(\left(A_{p, j}, B_{m, j}\right), \left(C_{j, k}, D_{k, m}\right)\right), \left(A, B, C, D\right) \end{array}\right)

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	2, 1, 2
1	ExprRange	lambda_map: 3 start_index: 4 end_index: 5
2	ExprTuple	14, 16, 18, 20
3	Lambda	parameter: 25 body: 7
4	Literal
5	Variable
6	ExprTuple	25
7	ExprTuple	8, 9
8	ExprTuple	10, 11
9	ExprTuple	12, 13
10	IndexedVar	variable: 14 indices: 15
11	IndexedVar	variable: 16 indices: 17
12	IndexedVar	variable: 18 indices: 19
13	IndexedVar	variable: 20 indices: 21
14	Variable
15	ExprTuple	22, 23
16	Variable
17	ExprTuple	25, 23
18	Variable
19	ExprTuple	23, 24
20	Variable
21	ExprTuple	24, 25
22	Variable
23	Variable
24	Variable
25	Variable