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Expression of type Lambda

from the theory of proveit.numbers.summation

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, Lambda, a, b, l
from proveit.logic import InSet
from proveit.numbers import Add, Integer, Mult, one
In [2]:
# build up the expression from sub-expressions
expr = Lambda(l, Conditional(Mult(a, b, Add(l, one)), InSet(l, Integer)))
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())
l \mapsto \left\{a \cdot b \cdot \left(l + 1\right) \textrm{ if } l \in \mathbb{Z}\right..
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Lambdaparameter: 15
body: 2
1ExprTuple15
2Conditionalvalue: 3
condition: 4
3Operationoperator: 5
operands: 6
4Operationoperator: 7
operands: 8
5Literal
6ExprTuple9, 10, 11
7Literal
8ExprTuple15, 12
9Variable
10Variable
11Operationoperator: 13
operands: 14
12Literal
13Literal
14ExprTuple15, 16
15Variable
16Literal