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Theory of proveit.numbers.number_sets

There are three main sets of numbers: integers, reals, and complexes.

In [1]:
import proveit
%theory # toggles between interactive and static modes

Local content of this theory

common expressions axioms theorems demonstrations

Sub-theories

natural_numberspositive whole numbers starting from zero
integerspositive and negative whole numbers
rational_numbersratios of integers
real_numbersincludes irrational numbers (e.g., the square root of 2 is not rational)
complex_numbersextends real numbers via the imaginary number (square root of -1)

All axioms contained within this theory

This theory contains no axioms directly.

proveit.numbers.number_sets.natural_numbers

proveit.numbers.number_sets.integers

proveit.numbers.number_sets.rational_numbers

proveit.numbers.number_sets.real_numbers

proveit.numbers.number_sets.complex_numbers

This sub-theory contains no axioms.