Expression of type ExprTuple

from the theory of proveit.trigonometry

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

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

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