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

# build up the expression from sub-expressions
expr = ExprTuple(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())

\left(\theta \mapsto \left\{\sin{\theta} \in \left[-1,0\right) \textrm{ if } \theta \in \left(-\pi,0\right)\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: 17 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 6 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	17, 10
8	Operation	operator: 11 operand: 17
9	Operation	operator: 13 operands: 14
10	Operation	operator: 15 operands: 16
11	Literal
12	ExprTuple	17
13	Literal
14	ExprTuple	18, 20
15	Literal
16	ExprTuple	19, 20
17	Variable
18	Operation	operator: 22 operand: 24
19	Operation	operator: 22 operand: 25
20	Literal
21	ExprTuple	24
22	Literal
23	ExprTuple	25
24	Literal
25	Literal