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Proof step 32 from proof prepost-write-orphans (previous step)

n < # avol1, ebm-vol-inv(avol1), ebm-vol-inv(avol1[n, mapped(mkbuf(0))]), is-encoded-pad(orphans0, # orphans0, buf0), # buf0 ≤ LEB_SIZE ⊦ is-aligned(# buf0, EB_PAGE_SIZE)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 33:
⊦ is-encoded-pad(ns, n, buf) ↔ n = # ns ∧ (∃ buf0, buf1. is-aligned(# buf, EB_PAGE_SIZE) ∧ buf = buf0 + buf1 ∧ is-encoded(ns, buf0))

Rule argument

spec: encoding-orphans name: is-encoded-pad seq: ⊦ is-encoded-pad(ns, n, buf) ↔ n = # ns ∧ (∃ buf0, buf1. is-aligned(# buf, EB_PAGE_SIZE) ∧ buf = buf0 + buf1 ∧ is-encoded(ns, buf0)) subst: [buf, n, ns] → [buf0, # orphans0, orphans0] flags: <all paths>

Additional information

Used terms: buf0, # orphans0, orphans0