Expression of type Lambda

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, Lambda, theta
from proveit.logic import InSet
from proveit.numbers import IntervalCO, IntervalOO, Neg, one, pi, zero
from proveit.trigonometry import Sin

# build up the expression from sub-expressions
expr = Lambda(theta, Conditional(InSet(Sin(theta), IntervalCO(Neg(one), zero)), InSet(theta, IntervalOO(Neg(pi), zero))))

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())

\theta \mapsto \left\{\sin{\theta} \in \left[-1,0\right) \textrm{ if } \theta \in \left(-\pi,0\right)\right..

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

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