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Expression of type Conditional

from the theory of proveit.trigonometry

In [1]:
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, theta
from proveit.logic import InSet
from proveit.numbers import IntervalCO, IntervalOO, Neg, one, pi, zero
from proveit.trigonometry import Sin
In [2]:
# build up the expression from sub-expressions
expr = Conditional(InSet(Sin(theta), IntervalCO(Neg(one), zero)), InSet(theta, IntervalOO(Neg(pi), zero)))
expr:
In [3]:
# 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
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left\{\sin{\theta} \in \left[-1,0\right) \textrm{ if } \theta \in \left(-\pi,0\right)\right..
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
condition_delimiter'comma' or 'and'commacomma('with_comma_delimiter', 'with_conjunction_delimiter')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Conditionalvalue: 1
condition: 2
1Operationoperator: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple15, 8
6Operationoperator: 9
operand: 15
7Operationoperator: 11
operands: 12
8Operationoperator: 13
operands: 14
9Literal
10ExprTuple15
11Literal
12ExprTuple16, 18
13Literal
14ExprTuple17, 18
15Variable
16Operationoperator: 20
operand: 22
17Operationoperator: 20
operand: 23
18Literal
19ExprTuple22
20Literal
21ExprTuple23
22Literal
23Literal