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 Add, Mult, Neg, frac, one, pi, two

# build up the expression from sub-expressions
sub_expr1 = Neg(theta)
sub_expr2 = Mult(frac(one, two), pi)
sub_expr3 = Neg(sub_expr2)
expr = Equals(Add(sub_expr3, Add(sub_expr1, frac(pi, two))), Add(sub_expr3, Add(sub_expr1, sub_expr2)))

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(\frac{1}{2} \cdot \pi\right) + \left(-\theta + \frac{\pi}{2}\right)\right) = \left(-\left(\frac{1}{2} \cdot \pi\right) + \left(-\theta + \left(\frac{1}{2} \cdot \pi\right)\right)\right)

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: 12 operands: 5
4	Operation	operator: 12 operands: 6
5	ExprTuple	8, 7
6	ExprTuple	8, 9
7	Operation	operator: 12 operands: 10
8	Operation	operator: 18 operand: 16
9	Operation	operator: 12 operands: 13
10	ExprTuple	15, 14
11	ExprTuple	16
12	Literal
13	ExprTuple	15, 16
14	Operation	operator: 25 operands: 17
15	Operation	operator: 18 operand: 22
16	Operation	operator: 20 operands: 21
17	ExprTuple	24, 28
18	Literal
19	ExprTuple	22
20	Literal
21	ExprTuple	23, 24
22	Variable
23	Operation	operator: 25 operands: 26
24	Literal
25	Literal
26	ExprTuple	27, 28
27	Literal
28	Literal