Expression of type ExprTuple

from the theory of proveit.numbers.exponentiation

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 Conditional, ExprTuple, Lambda, theta
from proveit.logic import And, InSet, NotEquals, NotInSet
from proveit.numbers import Exp, Integer, Mult, Real, e, frac, i, one, pi, two

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(theta, Conditional(NotEquals(Exp(e, Mult(i, theta)), one), And(InSet(theta, Real), NotInSet(frac(theta, Mult(two, pi)), Integer)))))

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(\theta \mapsto \left\{\mathsf{e}^{\mathsf{i} \cdot \theta} \neq 1 \textrm{ if } \theta \in \mathbb{R} ,  \frac{\theta}{2 \cdot \pi} \notin \mathbb{Z}\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	Lambda	parameter: 29 body: 3
2	ExprTuple	29
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	12, 13
10	Operation	operator: 14 operands: 15
11	Literal
12	Operation	operator: 16 operands: 17
13	Operation	operator: 18 operands: 19
14	Literal
15	ExprTuple	20, 21
16	Literal
17	ExprTuple	29, 22
18	Literal
19	ExprTuple	23, 24
20	Literal
21	Operation	operator: 31 operands: 25
22	Literal
23	Operation	operator: 26 operands: 27
24	Literal
25	ExprTuple	28, 29
26	Literal
27	ExprTuple	29, 30
28	Literal
29	Variable
30	Operation	operator: 31 operands: 32
31	Literal
32	ExprTuple	33, 34
33	Literal
34	Literal