Expression of type ExprTuple

from the theory of proveit.numbers.multiplication

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

# build up the expression from sub-expressions
expr = ExprTuple(Exp(a, k), Mult(Exp(e, Mult(two, pi, i, theta, k)), Exp(Add(a, b), k)), Exp(e, Mult(two, pi, 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(a^{k}, \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta \cdot k} \cdot \left(a + b\right)^{k}, \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot b}\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, 3
1	Operation	operator: 11 operands: 4
2	Operation	operator: 17 operands: 5
3	Operation	operator: 11 operands: 6
4	ExprTuple	26, 25
5	ExprTuple	7, 8
6	ExprTuple	14, 9
7	Operation	operator: 11 operands: 10
8	Operation	operator: 11 operands: 12
9	Operation	operator: 17 operands: 13
10	ExprTuple	14, 15
11	Literal
12	ExprTuple	16, 25
13	ExprTuple	21, 22, 23, 27
14	Literal
15	Operation	operator: 17 operands: 18
16	Operation	operator: 19 operands: 20
17	Literal
18	ExprTuple	21, 22, 23, 24, 25
19	Literal
20	ExprTuple	26, 27
21	Literal
22	Literal
23	Literal
24	Variable
25	Variable
26	Variable
27	Variable