WikiLeanRecent changes · Proposals · Flags · Stats · About

Diff — Continuous function

Revision #1728 → #2230 · back to history

modifiedHeight of growing flower (continuous)ce8c02ec48db
FieldFrom #1728To #2230
noteThis is an informal real-world illustration with no formal counterpart in Mathlib.Informal real-world illustration with no formal counterpart in Mathlib.
addedContinuity at isolated point is automatic6d152614bcaf
addedIVT corollary: sign change forces a zerodf36a9b94971
modifiedRight-continuous functionb387c0a274c9
FieldFrom #1728To #2230
noteRight-continuity is expressed as `ContinuousWithinAt f (Ici c) c`, with `continuousWithinAt_Ioi_iff_Ici` available.Right-continuity is expressed as `ContinuousWithinAt f (Ici c) c`.
addedPicard–Lindelöf theorem2d0452ef9769
modifiedQuotient topology (as final topology of surjection)93332c68ab08
FieldFrom #1728To #2230
mathlib.declQuotient.instTopologicalSpaceinstTopologicalSpaceQuotient
addedSubspace topology (initial topology of inclusion)62a9810833ef