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, n
from proveit.logic import And, InSet
from proveit.numbers import Integer, Interval, LessEq

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, b, n], Conditional(InSet(n, Interval(a, b)), And(InSet(a, Integer), InSet(b, Integer), InSet(n, Integer), And(LessEq(a, n), LessEq(n, b)).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(\left(a, b, n\right) \mapsto \left\{n \in \{a~\ldotp \ldotp~b\} \textrm{ if } a \in \mathbb{Z} ,  b \in \mathbb{Z} ,  n \in \mathbb{Z} ,  a \leq n \leq b\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	27, 29, 28
3	Conditional	value: 4 condition: 5
4	Operation	operator: 17 operands: 6
5	Operation	operator: 19 operands: 7
6	ExprTuple	28, 8
7	ExprTuple	9, 10, 11, 12
8	Operation	operator: 13 operands: 14
9	Operation	operator: 17 operands: 15
10	Operation	operator: 17 operands: 16
11	Operation	operator: 17 operands: 18
12	Operation	operator: 19 operands: 20
13	Literal
14	ExprTuple	27, 29
15	ExprTuple	27, 21
16	ExprTuple	29, 21
17	Literal
18	ExprTuple	28, 21
19	Literal
20	ExprTuple	22, 23
21	Literal
22	Operation	operator: 25 operands: 24
23	Operation	operator: 25 operands: 26
24	ExprTuple	27, 28
25	Literal
26	ExprTuple	28, 29
27	Variable
28	Variable
29	Variable