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 ExprTuple, Lambda, x, y
from proveit.logic import Equals, InSet
from proveit.numbers import Divides, Integer, frac

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([x, y], Equals(Divides(x, y), InSet(frac(y, 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(\left(x, y\right) \mapsto \left(\left(x \rvert y\right) = \left(\frac{y}{x} \in \mathbb{Z}\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: 8 body: 2
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	5, 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 9 operands: 10
7	Literal
8	ExprTuple	16, 15
9	Literal
10	ExprTuple	11, 12
11	Operation	operator: 13 operands: 14
12	Literal
13	Literal
14	ExprTuple	15, 16
15	Variable
16	Variable