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Expression of type ExprTuple

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, ExprTuple, Lambda, theta
from proveit.logic import InSet
from proveit.numbers import IntervalOC, IntervalOO, one, pi, zero
from proveit.trigonometry import Sin
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(theta, Conditional(InSet(Sin(theta), IntervalOC(zero, one)), InSet(theta, IntervalOO(zero, pi)))))
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(\theta \mapsto \left\{\sin{\theta} \in \left(0,1\right] \textrm{ if } \theta \in \left(0,\pi\right)\right..\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Lambdaparameter: 17
body: 2
2Conditionalvalue: 3
condition: 4
3Operationoperator: 6
operands: 5
4Operationoperator: 6
operands: 7
5ExprTuple8, 9
6Literal
7ExprTuple17, 10
8Operationoperator: 11
operand: 17
9Operationoperator: 13
operands: 14
10Operationoperator: 15
operands: 16
11Literal
12ExprTuple17
13Literal
14ExprTuple19, 18
15Literal
16ExprTuple19, 20
17Variable
18Literal
19Literal
20Literal