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, ExprArray, ExprRange, IndexedVar, Variable, i, j

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

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(C_{i}, C_{i + 1}, \ldots, C_{j},B_{j}, B_{j + 1}, \ldots, B_{i}\right),  \\ \left(A_{i}, A_{i + 1}, \ldots, A_{j},B_{i}, B_{i + 1}, \ldots, B_{j}\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	1, 2
1	ExprTuple	3, 4
2	ExprTuple	5, 6
3	ExprRange	lambda_map: 7 start_index: 10 end_index: 11
4	ExprRange	lambda_map: 9 start_index: 11 end_index: 10
5	ExprRange	lambda_map: 8 start_index: 10 end_index: 11
6	ExprRange	lambda_map: 9 start_index: 10 end_index: 11
7	Lambda	parameter: 19 body: 12
8	Lambda	parameter: 19 body: 13
9	Lambda	parameter: 19 body: 14
10	Variable
11	Variable
12	IndexedVar	variable: 15 index: 19
13	IndexedVar	variable: 16 index: 19
14	IndexedVar	variable: 17 index: 19
15	Variable
16	Variable
17	Variable
18	ExprTuple	19
19	Variable