Expression of type ExprTuple

from the theory of proveit.numbers.addition

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, c, i, j
from proveit.logic import InSet
from proveit.numbers import RealNeg, one

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = ExprTuple(ExprRange(sub_expr1, InSet(IndexedVar(a, sub_expr1), RealNeg), one, i), ExprRange(sub_expr1, InSet(IndexedVar(c, sub_expr1), RealNeg), one, 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())

\left(\left(a_{1} \in \mathbb{R}^-\right), \left(a_{2} \in \mathbb{R}^-\right), \ldots, \left(a_{i} \in \mathbb{R}^-\right),\left(c_{1} \in \mathbb{R}^-\right), \left(c_{2} \in \mathbb{R}^-\right), \ldots, \left(c_{j} \in \mathbb{R}^-\right)\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('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: 6 end_index: 4
2	ExprRange	lambda_map: 5 start_index: 6 end_index: 7
3	Lambda	parameter: 19 body: 8
4	Variable
5	Lambda	parameter: 19 body: 9
6	Literal
7	Variable
8	Operation	operator: 11 operands: 10
9	Operation	operator: 11 operands: 12
10	ExprTuple	13, 15
11	Literal
12	ExprTuple	14, 15
13	IndexedVar	variable: 16 index: 19
14	IndexedVar	variable: 17 index: 19
15	Literal
16	Variable
17	Variable
18	ExprTuple	19
19	Variable