Expression of type ExprTuple

from the theory of proveit.trigonometry

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, r
from proveit.numbers import Abs, Mult, frac, subtract, two
from proveit.trigonometry import Sin

# build up the expression from sub-expressions
sub_expr1 = Sin(frac(Abs(subtract(a, b)), two))
expr = ExprTuple(Mult(two, Mult(r, c), sub_expr1), Mult(two, r, c, sub_expr1))

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(2 \cdot \left(r \cdot c\right) \cdot \sin{\frac{\left|a - b\right|}{2}}, 2 \cdot r \cdot c \cdot \sin{\frac{\left|a - b\right|}{2}}\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: 7 operands: 3
2	Operation	operator: 7 operands: 4
3	ExprTuple	17, 5, 6
4	ExprTuple	17, 11, 12, 6
5	Operation	operator: 7 operands: 8
6	Operation	operator: 9 operand: 13
7	Literal
8	ExprTuple	11, 12
9	Literal
10	ExprTuple	13
11	Variable
12	Variable
13	Operation	operator: 14 operands: 15
14	Literal
15	ExprTuple	16, 17
16	Operation	operator: 18 operand: 20
17	Literal
18	Literal
19	ExprTuple	20
20	Operation	operator: 21 operands: 22
21	Literal
22	ExprTuple	23, 24
23	Variable
24	Operation	operator: 25 operand: 27
25	Literal
26	ExprTuple	27
27	Variable