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, x, y, z
from proveit.logic import Equals, InSet
from proveit.numbers import Divides, GCD, Integer, Mult, one

# build up the expression from sub-expressions
expr = ExprTuple(InSet(x, Integer), InSet(y, Integer), InSet(z, Integer), Divides(x, Mult(y, z)), Equals(GCD(x, y), one))

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 \in \mathbb{Z}, y \in \mathbb{Z}, z \in \mathbb{Z}, x \rvert \left(y \cdot z\right), gcd\left(x, y\right) = 1\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2, 3, 4, 5
1	Operation	operator: 8 operands: 6
2	Operation	operator: 8 operands: 7
3	Operation	operator: 8 operands: 9
4	Operation	operator: 10 operands: 11
5	Operation	operator: 12 operands: 13
6	ExprTuple	23, 14
7	ExprTuple	24, 14
8	Literal
9	ExprTuple	22, 14
10	Literal
11	ExprTuple	23, 15
12	Literal
13	ExprTuple	16, 17
14	Literal
15	Operation	operator: 18 operands: 19
16	Operation	operator: 20 operands: 21
17	Literal
18	Literal
19	ExprTuple	24, 22
20	Literal
21	ExprTuple	23, 24
22	Variable
23	Variable
24	Variable