Expression of type Mult

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 theta
from proveit.numbers import Abs, Mult, frac, pi, subtract, two, zero
from proveit.trigonometry import Sin

# build up the expression from sub-expressions
expr = Mult(two, Sin(frac(Abs(subtract(zero, Mult(two, pi, theta))), two)))

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())

2 \cdot \sin{\frac{\left|0 - \left(2 \cdot \pi \cdot \theta\right)\right|}{2}}

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 19 operands: 1
1	ExprTuple	21, 2
2	Operation	operator: 3 operand: 5
3	Literal
4	ExprTuple	5
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	8, 21
8	Operation	operator: 9 operand: 11
9	Literal
10	ExprTuple	11
11	Operation	operator: 12 operands: 13
12	Literal
13	ExprTuple	14, 15
14	Literal
15	Operation	operator: 16 operand: 18
16	Literal
17	ExprTuple	18
18	Operation	operator: 19 operands: 20
19	Literal
20	ExprTuple	21, 22, 23
21	Literal
22	Literal
23	Variable