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, e, i, subtract

# build up the expression from sub-expressions
expr = ExprTuple(subtract(Mult(r, Exp(e, Mult(i, a))), 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(\left(r \cdot \mathsf{e}^{\mathsf{i} \cdot a}\right) - \left(r \cdot \mathsf{e}^{\mathsf{i} \cdot b}\right)\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5
4	Operation	operator: 22 operands: 6
5	Operation	operator: 7 operand: 10
6	ExprTuple	14, 9
7	Literal
8	ExprTuple	10
9	Operation	operator: 17 operands: 11
10	Operation	operator: 22 operands: 12
11	ExprTuple	20, 13
12	ExprTuple	14, 15
13	Operation	operator: 22 operands: 16
14	Variable
15	Operation	operator: 17 operands: 18
16	ExprTuple	24, 19
17	Literal
18	ExprTuple	20, 21
19	Variable
20	Literal
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Variable