Expression of type ExprTuple

from the theory of proveit.numbers.summation

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 ExprTuple, a, b, j
from proveit.logic import Forall, InSet
from proveit.numbers import Interval, NaturalPos, Sum

# build up the expression from sub-expressions
sub_expr1 = [j]
sub_expr2 = Interval(a, b)
expr = ExprTuple(Forall(instance_param_or_params = sub_expr1, instance_expr = InSet(j, NaturalPos), domain = sub_expr2), InSet(Sum(index_or_indices = sub_expr1, summand = j, domain = sub_expr2), NaturalPos))

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(\forall_{j \in \{a~\ldotp \ldotp~b\}}~\left(j \in \mathbb{N}^+\right), \left(\sum_{j = a}^{b} j\right) \in \mathbb{N}^+\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	Operation	operator: 3 operand: 6
2	Operation	operator: 18 operands: 5
3	Literal
4	ExprTuple	6
5	ExprTuple	7, 16
6	Lambda	parameter: 20 body: 8
7	Operation	operator: 9 operand: 12
8	Conditional	value: 11 condition: 17
9	Literal
10	ExprTuple	12
11	Operation	operator: 18 operands: 13
12	Lambda	parameter: 20 body: 15
13	ExprTuple	20, 16
14	ExprTuple	20
15	Conditional	value: 20 condition: 17
16	Literal
17	Operation	operator: 18 operands: 19
18	Literal
19	ExprTuple	20, 21
20	Variable
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Variable
25	Variable