Uniqueness of owner Harder--Narasimhan filtrations #
This umbrella exports the owner-native uniqueness argument, owned by five modules:
Uniqueness.MonoDescent-- normalization of phase and semistability under rewriting of a successive quotient, transport of subobjects along a monomorphism, extension of an HN filtration along a mono, and the semistable base case;Uniqueness.SubobjectLattice-- one factor exactly when semistable, the compatibility of pullback along a cokernel projection with the chain and with charge, and the comparisoncokernelPullbackIso;Uniqueness.Extrema-- the first chain step as the maximal semistable subobject of maximal phase, and the formulasphiPlus_eq,phiMinus_eq;Uniqueness.Tail-- the tail filtration and the invariance of the number of factors;Uniqueness.Destabilizing-- the maximally destabilizing subobject, its quotient and short exact sequence, and the extremal phase functionsphiPlusandphiMinuswith the characterisation of semistability.
Importing this module is equivalent to the former single-file surface; new code should prefer the narrowest owning module above.