GL-E: span assembly #
The strong induction composing GL-C (base, k = 3) with GL-B (step). Complete as
written (the GL0 composability certificate, L1's stageStep pattern) — it inherits
the upstream sorries and self-heals as GL-B/GL-C land. StageLemma.lean's frozen
span_free_r0/r2 are filled by these theorems definitionally (SpanTargetR0/R2 are
the verbatim statement bodies).
theorem
GQ2.Roe.Labute.span_free_r0_proof
(k : ℕ)
(hk : 3 ≤ k)
:
zLayer (↑freeProTwo.toProfinite.toTop) k ≤ SpanTargetR0 k
The span theorem, r₀ shape, in span-target form (= span_free_r0 verbatim).
theorem
GQ2.Roe.Labute.span_free_r2_proof
(k : ℕ)
(hk : 3 ≤ k)
:
zLayer (↑freeProTwo.toProfinite.toTop) k ≤ SpanTargetR2 k
The span theorem, r₂ shape, in span-target form (= span_free_r2 verbatim).