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Expression of type ExprTuple

from the theory of proveit.numbers.integration

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, a, b, l
from proveit.logic import InSet
from proveit.numbers import Exp, IntervalCC, frac, one, two
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(frac(one, Exp(l, two)), InSet(l, IntervalCC(a, b)))))
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(l \mapsto \left\{\frac{1}{l^{2}} \textrm{ if } l \in \left[a,b\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: 3
2ExprTuple17
3Conditionalvalue: 4
condition: 5
4Operationoperator: 6
operands: 7
5Operationoperator: 8
operands: 9
6Literal
7ExprTuple10, 11
8Literal
9ExprTuple17, 12
10Literal
11Operationoperator: 13
operands: 14
12Operationoperator: 15
operands: 16
13Literal
14ExprTuple17, 18
15Literal
16ExprTuple19, 20
17Variable
18Literal
19Variable
20Variable