Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.integers

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, c, d
from proveit.logic import And, InSet
from proveit.numbers import Integer, Less, LessEq

# build up the expression from sub-expressions
expr = ExprTuple(InSet(a, Integer), InSet(b, Integer), InSet(c, Integer), InSet(d, Integer), And(LessEq(a, b), Less(b, c), LessEq(c, d)).with_total_ordering_style())

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}, c \in \mathbb{Z}, d \in \mathbb{Z}, a \leq b < c \leq d\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, 5
1	Operation	operator: 9 operands: 6
2	Operation	operator: 9 operands: 7
3	Operation	operator: 9 operands: 8
4	Operation	operator: 9 operands: 10
5	Operation	operator: 11 operands: 12
6	ExprTuple	22, 13
7	ExprTuple	23, 13
8	ExprTuple	24, 13
9	Literal
10	ExprTuple	25, 13
11	Literal
12	ExprTuple	14, 15, 16
13	Literal
14	Operation	operator: 20 operands: 17
15	Operation	operator: 18 operands: 19
16	Operation	operator: 20 operands: 21
17	ExprTuple	22, 23
18	Literal
19	ExprTuple	23, 24
20	Literal
21	ExprTuple	24, 25
22	Variable
23	Variable
24	Variable
25	Variable