Expression of type ExprTuple

from the theory of proveit.core_expr_types.tuples

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 ExprRange, ExprTuple, IndexedVar, Variable, a
from proveit.numbers import one, two, zero

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr2 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, ExprRange(sub_expr2, IndexedVar(a, [sub_expr1, sub_expr2]), one, zero), two, one))

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())

\left(a_{2, 1}, a_{2, 2}, \ldots, a_{2, 0}, a_{3, 1}, a_{3, 2}, \ldots, a_{3, 0}, \ldots\ldots, a_{1, 1}, a_{1, 2}, \ldots, a_{1, 0}\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	ExprRange	lambda_map: 2 start_index: 3 end_index: 7
2	Lambda	parameter: 13 body: 5
3	Literal
4	ExprTuple	13
5	ExprRange	lambda_map: 6 start_index: 7 end_index: 8
6	Lambda	parameter: 14 body: 10
7	Literal
8	Literal
9	ExprTuple	14
10	IndexedVar	variable: 11 indices: 12
11	Variable
12	ExprTuple	13, 14
13	Variable
14	Variable