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, S, a, b
from proveit.logic import InSet, SubsetEq
from proveit.numbers import Integer, IntervalCC, LessEq, one, subtract

# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, Integer), InSet(b, Integer), LessEq(a, b), SubsetEq(IntervalCC(subtract(a, one), b), S))

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 \in \mathbb{Z}, b \in \mathbb{Z}, a \leq b, \left[a - 1,b\right] \subseteq S\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, 3, 4
1	Operation	operator: 6 operands: 5
2	Operation	operator: 6 operands: 7
3	Operation	operator: 8 operands: 9
4	Operation	operator: 10 operands: 11
5	ExprTuple	21, 12
6	Literal
7	ExprTuple	18, 12
8	Literal
9	ExprTuple	21, 18
10	Literal
11	ExprTuple	13, 14
12	Literal
13	Operation	operator: 15 operands: 16
14	Variable
15	Literal
16	ExprTuple	17, 18
17	Operation	operator: 19 operands: 20
18	Variable
19	Literal
20	ExprTuple	21, 22
21	Variable
22	Operation	operator: 23 operand: 25
23	Literal
24	ExprTuple	25
25	Literal