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 = Add(a, b, c)
sub_expr2 = Neg(one)
expr = ExprTuple(frac(Mult(sub_expr1, b), Mult(a, d)), Mult(sub_expr1, b, Exp(a, sub_expr2), Exp(d, sub_expr2)))

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