Theorems (or conjectures) for the theory of proveit.numbers.functions

import proveit
# Prepare this notebook for defining the theorems of a theory:
%theorems_notebook # Keep this at the top following 'import proveit'.
from proveit import x, Lambda
from proveit.logic import InSet
from proveit.numbers import one, two, Div, Exp, MonDecFuncs, RealPos
# from ... import ...

%begin theorems

Defining theorems for theory 'proveit.numbers.functions'
Subsequent end-of-cell assignments will define theorems
'%end theorems' will finalize the definitions

one_over_x_sqrd_in_mon_dec_fxns = (
    InSet(Lambda(x, Div(one, Exp(x, two))),
            MonDecFuncs(RealPos)))

one_over_x_sqrd_in_mon_dec_fxns (conjecture without proof):

%end theorems

These theorems may now be imported from the theory package: proveit.numbers.functions