Expression of type ExprTuple

from the theory of proveit.numbers.number_sets.complex_numbers

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, x
from proveit.numbers import Exp, Mod, Mult, Neg, e, frac, i, pi, two

# build up the expression from sub-expressions
expr = ExprTuple(Exp(e, frac(Neg(Mult(two, pi, i, Mod(x, r))), r)), Exp(e, frac(Neg(Mult(two, pi, i, x)), r)))

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}^{\frac{-\left(2 \cdot \pi \cdot \mathsf{i} \cdot \left(x ~\textup{mod}~ r\right)\right)}{r}}, \mathsf{e}^{\frac{-\left(2 \cdot \pi \cdot \mathsf{i} \cdot x\right)}{r}}\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: 4 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	7, 6
4	Literal
5	ExprTuple	7, 8
6	Operation	operator: 10 operands: 9
7	Literal
8	Operation	operator: 10 operands: 11
9	ExprTuple	12, 29
10	Literal
11	ExprTuple	13, 29
12	Operation	operator: 15 operand: 17
13	Operation	operator: 15 operand: 18
14	ExprTuple	17
15	Literal
16	ExprTuple	18
17	Operation	operator: 20 operands: 19
18	Operation	operator: 20 operands: 21
19	ExprTuple	23, 24, 25, 22
20	Literal
21	ExprTuple	23, 24, 25, 28
22	Operation	operator: 26 operands: 27
23	Literal
24	Literal
25	Literal
26	Literal
27	ExprTuple	28, 29
28	Variable
29	Variable