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 Conditional, ExprTuple, Lambda, 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 = ExprTuple(Lambda(theta, 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(\theta \mapsto \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..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 31 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 17 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 11
8	Operation	operator: 24 operands: 12
9	Operation	operator: 13 operand: 26
10	Operation	operator: 15 operands: 16
11	Operation	operator: 17 operands: 18
12	ExprTuple	19, 27
13	Literal
14	ExprTuple	26
15	Literal
16	ExprTuple	31, 20
17	Literal
18	ExprTuple	26, 21
19	Operation	operator: 22 operands: 23
20	Literal
21	Operation	operator: 24 operands: 25
22	Literal
23	ExprTuple	28, 26
24	Literal
25	ExprTuple	27, 28
26	Operation	operator: 29 operand: 31
27	Literal
28	Literal
29	Literal
30	ExprTuple	31
31	Variable