Real numbers
Content created by Louis Wasserman, Fredrik Bakke, Egbert Rijke and malarbol.
Created on 2023-04-08.
Last modified on 2025-03-24.
Modules in the real numbers namespace
module real-numbers where open import real-numbers.addition-lower-dedekind-real-numbers public open import real-numbers.addition-upper-dedekind-real-numbers public open import real-numbers.apartness-real-numbers public open import real-numbers.arithmetically-located-dedekind-cuts public open import real-numbers.dedekind-real-numbers public open import real-numbers.inequality-lower-dedekind-real-numbers public open import real-numbers.inequality-real-numbers public open import real-numbers.inequality-upper-dedekind-real-numbers public open import real-numbers.lower-dedekind-real-numbers public open import real-numbers.maximum-lower-dedekind-real-numbers public open import real-numbers.maximum-real-numbers public open import real-numbers.maximum-upper-dedekind-real-numbers public open import real-numbers.metric-space-of-real-numbers public open import real-numbers.minimum-lower-dedekind-real-numbers public open import real-numbers.minimum-real-numbers public open import real-numbers.minimum-upper-dedekind-real-numbers public open import real-numbers.negation-lower-upper-dedekind-real-numbers public open import real-numbers.negation-real-numbers public open import real-numbers.raising-universe-levels-real-numbers public open import real-numbers.rational-lower-dedekind-real-numbers public open import real-numbers.rational-real-numbers public open import real-numbers.rational-upper-dedekind-real-numbers public open import real-numbers.similarity-real-numbers public open import real-numbers.strict-inequality-real-numbers public open import real-numbers.upper-dedekind-real-numbers public
Recent changes
- 2025-03-24. Louis Wasserman. Minimum and maximum on the lower, upper, and usual Dedekind real numbers (#1335).
- 2025-03-23. Louis Wasserman. Addition for lower and upper Dedekind reals (#1342).
- 2025-03-03. Louis Wasserman. Raising a real number’s universe level (#1286).
- 2025-02-16. Louis Wasserman. Break the Dedekind reals into lower and upper Dedekind reals (#1314).
- 2025-02-12. Louis Wasserman and Fredrik Bakke. Apartness for real numbers (#1296).