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 Abs, LessEq, Real
from proveit.trigonometry import Sin

# build up the expression from sub-expressions
sub_expr1 = Abs(theta)
expr = Lambda(theta, Conditional(LessEq(Sin(sub_expr1), sub_expr1), InSet(theta, Real)))

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{\left|\theta\right|} \leq \left|\theta\right| \textrm{ if } \theta \in \mathbb{R}\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: 4 operands: 5
3	Operation	operator: 6 operands: 7
4	Literal
5	ExprTuple	8, 12
6	Literal
7	ExprTuple	15, 9
8	Operation	operator: 10 operand: 12
9	Literal
10	Literal
11	ExprTuple	12
12	Operation	operator: 13 operand: 15
13	Literal
14	ExprTuple	15
15	Variable