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 Abs, Exp, Mult, Neg, e, i

# build up the expression from sub-expressions
expr = ExprTuple(Abs(Mult(Neg(r), Exp(e, Mult(Neg(theta), i)))), Abs(Neg(Mult(r, Exp(e, Neg(Mult(theta, i)))))))

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|\left(-r\right) \cdot \mathsf{e}^{\left(-\theta\right) \cdot \mathsf{i}}\right|, \left|-\left(r \cdot \mathsf{e}^{-\left(\theta \cdot \mathsf{i}\right)}\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: 4 operand: 6
2	Operation	operator: 4 operand: 7
3	ExprTuple	6
4	Literal
5	ExprTuple	7
6	Operation	operator: 29 operands: 8
7	Operation	operator: 26 operand: 12
8	ExprTuple	10, 11
9	ExprTuple	12
10	Operation	operator: 26 operand: 17
11	Operation	operator: 20 operands: 14
12	Operation	operator: 29 operands: 15
13	ExprTuple	17
14	ExprTuple	23, 16
15	ExprTuple	17, 18
16	Operation	operator: 29 operands: 19
17	Variable
18	Operation	operator: 20 operands: 21
19	ExprTuple	22, 32
20	Literal
21	ExprTuple	23, 24
22	Operation	operator: 26 operand: 31
23	Literal
24	Operation	operator: 26 operand: 28
25	ExprTuple	31
26	Literal
27	ExprTuple	28
28	Operation	operator: 29 operands: 30
29	Literal
30	ExprTuple	31, 32
31	Variable
32	Literal