Mathlib Phrasebook

19.5. Notable results🔗

The following are some notable results in Mathlib's theory library of topological vector spaces:

  • The Open Mapping Theorem: ContinuousLinearMap.isOpenMap

  • The Hahn-Banach Theorem: exists_extension_norm_eq

  • The Lax-Milgram theorem: IsCoercive.continuousLinearEquivOfBilin

  • The Banach-Steinhaus theorem: banach_steinhaus