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 Conditional, ExprTuple, Lambda, a, b, x
from proveit.logic import And, InSet, NotInSet, Or
from proveit.numbers import Integer, Interval, Less

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b, x], Conditional(NotInSet(x, Interval(a, b)), And(InSet(a, Integer), InSet(b, Integer), InSet(x, Integer), Or(Less(x, a), Less(b, x))))))

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, b, x\right) \mapsto \left\{x \notin \{a~\ldotp \ldotp~b\} \textrm{ if } a \in \mathbb{Z} ,  b \in \mathbb{Z} ,  x \in \mathbb{Z} ,  \left(x < a\right) \lor \left(b < x\right)\right..\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	Lambda	parameters: 2 body: 3
2	ExprTuple	29, 30, 31
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	31, 10
8	Literal
9	ExprTuple	11, 12, 13, 14
10	Operation	operator: 15 operands: 16
11	Operation	operator: 19 operands: 17
12	Operation	operator: 19 operands: 18
13	Operation	operator: 19 operands: 20
14	Operation	operator: 21 operands: 22
15	Literal
16	ExprTuple	29, 30
17	ExprTuple	29, 23
18	ExprTuple	30, 23
19	Literal
20	ExprTuple	31, 23
21	Literal
22	ExprTuple	24, 25
23	Literal
24	Operation	operator: 27 operands: 26
25	Operation	operator: 27 operands: 28
26	ExprTuple	31, 29
27	Literal
28	ExprTuple	30, 31
29	Variable
30	Variable
31	Variable