Expression of type ExprTuple

from the theory of proveit.numbers.absolute_value

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, c, theta
from proveit.numbers import Abs, Exp, Mult, e, i

# build up the expression from sub-expressions
sub_expr1 = Abs(a)
expr = ExprTuple(Mult(sub_expr1, Abs(b), Abs(Exp(e, Mult(i, theta))), Abs(c)), Mult(sub_expr1, b, c))

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(\left|a\right| \cdot \left|b\right| \cdot \left|\mathsf{e}^{\mathsf{i} \cdot \theta}\right| \cdot \left|c\right|, \left|a\right| \cdot b \cdot c\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: 22 operands: 3
2	Operation	operator: 22 operands: 4
3	ExprTuple	8, 5, 6, 7
4	ExprTuple	8, 14, 16
5	Operation	operator: 12 operand: 14
6	Operation	operator: 12 operand: 15
7	Operation	operator: 12 operand: 16
8	Operation	operator: 12 operand: 17
9	ExprTuple	14
10	ExprTuple	15
11	ExprTuple	16
12	Literal
13	ExprTuple	17
14	Variable
15	Operation	operator: 18 operands: 19
16	Variable
17	Variable
18	Literal
19	ExprTuple	20, 21
20	Literal
21	Operation	operator: 22 operands: 23
22	Literal
23	ExprTuple	24, 25
24	Literal
25	Variable