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, theta
from proveit.numbers import Add, Exp, Mult, Neg, e, i, one, pi, two

# build up the expression from sub-expressions
expr = ExprTuple(Add(Neg(Exp(e, Mult(two, pi, i, theta))), one))

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(-\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta} + 1\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: 6 operand: 8
5	Literal
6	Literal
7	ExprTuple	8
8	Operation	operator: 9 operands: 10
9	Literal
10	ExprTuple	11, 12
11	Literal
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 16, 17, 18
15	Literal
16	Literal
17	Literal
18	Variable