Expression of type Conditional

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 Conditional, theta
from proveit.logic import And, InSet
from proveit.numbers import Abs, LessEq, Mult, Real, frac, greater_eq, pi, two
from proveit.trigonometry import Sin

# build up the expression from sub-expressions
sub_expr1 = Abs(theta)
expr = Conditional(greater_eq(Sin(sub_expr1), frac(Mult(two, sub_expr1), pi)), And(InSet(theta, Real), LessEq(sub_expr1, frac(pi, 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())

\left\{\sin{\left|\theta\right|} \geq \frac{2 \cdot \left|\theta\right|}{\pi} \textrm{ if } \theta \in \mathbb{R} ,  \left|\theta\right| \leq \frac{\pi}{2}\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 15 operands: 3
2	Operation	operator: 4 operands: 5
3	ExprTuple	6, 7
4	Literal
5	ExprTuple	8, 9
6	Operation	operator: 22 operands: 10
7	Operation	operator: 11 operand: 24
8	Operation	operator: 13 operands: 14
9	Operation	operator: 15 operands: 16
10	ExprTuple	17, 25
11	Literal
12	ExprTuple	24
13	Literal
14	ExprTuple	29, 18
15	Literal
16	ExprTuple	24, 19
17	Operation	operator: 20 operands: 21
18	Literal
19	Operation	operator: 22 operands: 23
20	Literal
21	ExprTuple	26, 24
22	Literal
23	ExprTuple	25, 26
24	Operation	operator: 27 operand: 29
25	Literal
26	Literal
27	Literal
28	ExprTuple	29
29	Variable