Expression of type ExprTuple

from the theory of proveit.numbers.absolute_value

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, r, theta
from proveit.numbers import Exp, Mult, Neg, e, i

# build up the expression from sub-expressions
sub_expr1 = Exp(e, Neg(Mult(theta, i)))
expr = ExprTuple(Mult(Neg(r), sub_expr1), Neg(Mult(r, 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(\left(-r\right) \cdot \mathsf{e}^{-\left(\theta \cdot \mathsf{i}\right)}, -\left(r \cdot \mathsf{e}^{-\left(\theta \cdot \mathsf{i}\right)}\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: 18 operands: 3
2	Operation	operator: 15 operand: 6
3	ExprTuple	5, 10
4	ExprTuple	6
5	Operation	operator: 15 operand: 9
6	Operation	operator: 18 operands: 8
7	ExprTuple	9
8	ExprTuple	9, 10
9	Variable
10	Operation	operator: 11 operands: 12
11	Literal
12	ExprTuple	13, 14
13	Literal
14	Operation	operator: 15 operand: 17
15	Literal
16	ExprTuple	17
17	Operation	operator: 18 operands: 19
18	Literal
19	ExprTuple	20, 21
20	Variable
21	Literal