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
from proveit.numbers import Complex, Integer, Interval

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

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(x \mapsto \left\{x \notin \{a~\ldotp \ldotp~b\} \textrm{ if } x \in \mathbb{C} ,  x \notin \mathbb{Z}\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	parameter: 21 body: 3
2	ExprTuple	21
3	Conditional	value: 4 condition: 5
4	Operation	operator: 16 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	21, 9
7	Literal
8	ExprTuple	10, 11
9	Operation	operator: 12 operands: 13
10	Operation	operator: 14 operands: 15
11	Operation	operator: 16 operands: 17
12	Literal
13	ExprTuple	18, 19
14	Literal
15	ExprTuple	21, 20
16	Literal
17	ExprTuple	21, 22
18	Variable
19	Variable
20	Literal
21	Variable
22	Literal