Expression of type ExprTuple

from the theory of proveit.numbers.division

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, a, b, c, d
from proveit.numbers import Add, Exp, Mult, Neg, frac, one

# build up the expression from sub-expressions
sub_expr1 = Neg(one)
sub_expr2 = Mult(Add(a, b, c), b)
expr = ExprTuple(frac(sub_expr2, Mult(a, d)), Mult(sub_expr2, Mult(Exp(a, sub_expr1), Exp(d, sub_expr1))))

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(\frac{\left(a + b + c\right) \cdot b}{a \cdot d}, \left(\left(a + b + c\right) \cdot b\right) \cdot \left(a^{-1} \cdot d^{-1}\right)\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
1	Operation	operator: 3 operands: 4
2	Operation	operator: 11 operands: 5
3	Literal
4	ExprTuple	7, 6
5	ExprTuple	7, 8
6	Operation	operator: 11 operands: 9
7	Operation	operator: 11 operands: 10
8	Operation	operator: 11 operands: 12
9	ExprTuple	23, 24
10	ExprTuple	13, 21
11	Literal
12	ExprTuple	14, 15
13	Operation	operator: 16 operands: 17
14	Operation	operator: 19 operands: 18
15	Operation	operator: 19 operands: 20
16	Literal
17	ExprTuple	23, 21, 22
18	ExprTuple	23, 25
19	Literal
20	ExprTuple	24, 25
21	Variable
22	Variable
23	Variable
24	Variable
25	Operation	operator: 26 operand: 28
26	Literal
27	ExprTuple	28
28	Literal