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
expr = ExprTuple(Mult(r, Exp(e, Mult(i, Neg(theta)))), Mult(r, Exp(e, Neg(Mult(i, theta)))))

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