Expression of type ExprTuple

from the theory of proveit.numbers.divisibility

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, n
from proveit.logic import And, InSet
from proveit.numbers import Divides, Exp, Integer, two

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([a, n], Conditional(Divides(two, a), And(InSet(a, Integer), InSet(n, Integer), Divides(two, Exp(a, n))))))

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, n\right) \mapsto \left\{2 \rvert a \textrm{ if } a \in \mathbb{Z} ,  n \in \mathbb{Z} ,  2 \rvert a^{n}\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: 20 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 14 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	17, 21
6	Literal
7	ExprTuple	8, 9, 10
8	Operation	operator: 12 operands: 11
9	Operation	operator: 12 operands: 13
10	Operation	operator: 14 operands: 15
11	ExprTuple	21, 16
12	Literal
13	ExprTuple	22, 16
14	Literal
15	ExprTuple	17, 18
16	Literal
17	Literal
18	Operation	operator: 19 operands: 20
19	Literal
20	ExprTuple	21, 22
21	Variable
22	Variable