Expression of type Equals

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.logic import Equals
from proveit.numbers import Abs, Mult, frac, pi, subtract, two, zero

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

\frac{\left|0 - \left(2 \cdot \pi \cdot \theta\right)\right|}{2} = \frac{2 \cdot \pi \cdot \left|\theta\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',)
direction	Direction of the relation (normal or reversed)	normal	normal	('with_direction_reversed', 'is_reversed')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3, 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 25
6	Literal
7	ExprTuple	9, 25
8	Operation	operator: 16 operand: 12
9	Operation	operator: 23 operands: 11
10	ExprTuple	12
11	ExprTuple	25, 26, 13
12	Operation	operator: 14 operands: 15
13	Operation	operator: 16 operand: 27
14	Literal
15	ExprTuple	18, 19
16	Literal
17	ExprTuple	27
18	Literal
19	Operation	operator: 20 operand: 22
20	Literal
21	ExprTuple	22
22	Operation	operator: 23 operands: 24
23	Literal
24	ExprTuple	25, 26, 27
25	Literal
26	Literal
27	Variable