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

# build up the expression from sub-expressions
sub_expr1 = Exp(e, Mult(two, pi, i, a))
sub_expr2 = Exp(e, Mult(two, pi, i, k, delta))
sub_expr3 = Exp(e, Mult(two, pi, i, theta, k))
sub_expr4 = Exp(e, Mult(two, pi, i, b))
expr = ExprTuple(Mult(sub_expr1, sub_expr2, sub_expr3, sub_expr4), Mult(sub_expr1, Mult(sub_expr2, sub_expr3), sub_expr4))

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 a} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot k \cdot \delta} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta \cdot k} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot b}, \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot a} \cdot \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot k \cdot \delta} \cdot \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \theta \cdot k}\right) \cdot \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
1	Operation	operator: 26 operands: 3
2	Operation	operator: 26 operands: 4
3	ExprTuple	5, 12, 13, 7
4	ExprTuple	5, 6, 7
5	Operation	operator: 17 operands: 8
6	Operation	operator: 26 operands: 9
7	Operation	operator: 17 operands: 10
8	ExprTuple	22, 11
9	ExprTuple	12, 13
10	ExprTuple	22, 14
11	Operation	operator: 26 operands: 15
12	Operation	operator: 17 operands: 16
13	Operation	operator: 17 operands: 18
14	Operation	operator: 26 operands: 19
15	ExprTuple	29, 30, 31, 20
16	ExprTuple	22, 21
17	Literal
18	ExprTuple	22, 23
19	ExprTuple	29, 30, 31, 24
20	Variable
21	Operation	operator: 26 operands: 25
22	Literal
23	Operation	operator: 26 operands: 27
24	Variable
25	ExprTuple	29, 30, 31, 33, 28
26	Literal
27	ExprTuple	29, 30, 31, 32, 33
28	Variable
29	Literal
30	Literal
31	Literal
32	Variable
33	Variable