logo

Expression of type Lambda

from the theory of proveit.numbers.functions

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 Lambda, x
from proveit.numbers import Exp, frac, one, two
In [2]:
# build up the expression from sub-expressions
expr = Lambda(x, frac(one, Exp(x, two)))
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())
x \mapsto \frac{1}{x^{2}}
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Lambdaparameter: 9
body: 2
1ExprTuple9
2Operationoperator: 3
operands: 4
3Literal
4ExprTuple5, 6
5Literal
6Operationoperator: 7
operands: 8
7Literal
8ExprTuple9, 10
9Variable
10Literal