OAI/NumberTheory/Ostmann/Construction/InsertedAtomAssignment.lean
5 declarations, 0 contain sorry, 0 declared as axioms
Inserting the reconstructed composite pivot in either old branch
- def
OAI.Ostmann.scheduledInsertedAtomsline 12 - theorem
OAI.Ostmann.scheduledInsertedAtoms_pivotline 20 - theorem
OAI.Ostmann.scheduledInsertedAtoms_Hline 26 - theorem
OAI.Ostmann.scheduledInsertedAtoms_Yline 33 - theorem
OAI.Ostmann.reverseCopiedAtoms_eq_insertedline 42Source documentation
The arithmetic reverse substitution uses precisely the old H branch, the single common outside assignment, and the forced composite pivot.
theorem reverseCopiedAtoms_eq_inserted {I : Type*} (role : I → CopyScheduleRole) (n : ℕ) (b : Bool) (P : ℕ) (u : CopyScheduleY role n → ℕ) (l r : CopyScheduleH role n → ℕ) : reverseCopyLabelMap role n b P (scheduledCopiedAssignment role n u l r) = scheduledInsertedAtoms role n P (if b then l else r) u := by …Mentions: OAI.Ostmann.CopyScheduleRole, OAI.Ostmann.CopyScheduleY, OAI.Ostmann.CopyScheduleH, OAI.Ostmann.reverseCopyLabelMap, OAI.Ostmann.scheduledCopiedAssignment, OAI.Ostmann.scheduledInsertedAtoms