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 IntervalCC, Neg, one, pi, zero
from proveit.trigonometry import Sin

# build up the expression from sub-expressions
expr = Lambda(theta, Conditional(InSet(Sin(theta), IntervalCC(Neg(one), zero)), InSet(theta, IntervalCC(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: 15 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	15, 9
7	Operation	operator: 10 operand: 15
8	Operation	operator: 13 operands: 12
9	Operation	operator: 13 operands: 14
10	Literal
11	ExprTuple	15
12	ExprTuple	16, 18
13	Literal
14	ExprTuple	17, 18
15	Variable
16	Operation	operator: 20 operand: 22
17	Operation	operator: 20 operand: 23
18	Literal
19	ExprTuple	22
20	Literal
21	ExprTuple	23
22	Literal
23	Literal