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Proof step 93 from proof truncate-same-iso (previous step)

files1[ino0] = mkfile(m2, md0, # links(ino0, dirs), content0), files1[ino] = mkfile(m, md, # links(ino, dirs), content), afs-cons(dirs, files1), ino ∈ files1, ino0 ∈ files1 ⊦ m = (ino = ino0 ⊃ mkfile(m2, md0, # links(ino0, dirs), content0 upto m2);mkfile(m, md, # links(ino, dirs), content)).size ∧ md = (ino = ino0 ⊃ mkfile(m2, md0, # links(ino0, dirs), content0 upto m2);mkfile(m, md, # links(ino, dirs), content)).meta ∧ # links(ino, dirs) = (ino = ino0 ⊃ mkfile(m2, md0, # links(ino0, dirs), content0 upto m2);mkfile(m, md, # links(ino, dirs), content)).nlink ∧ content.stream to (ino = ino0 ⊃ mkfile(m2, md0, # links(ino0, dirs), content0 upto m2);mkfile(m, md, # links(ino, dirs), content)).size = (ino = ino0 ⊃ mkfile(m2, md0, # links(ino0, dirs), content0 upto m2);mkfile(m, md, # links(ino, dirs), content)).content.stream to (ino = ino0 ⊃ mkfile(m2, md0, # links(ino0, dirs), content0 upto m2);mkfile(m, md, # links(ino, dirs), content)).size, m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 94:
(ino = ino0 ⊃ mkfile(m2, md0, # links(ino0, dirs), content0 upto m2);mkfile(m, md, # links(ino, dirs), content)) = mkfile(m0, md1, m1, content1), files1[ino] = mkfile(m, md, # links(ino, dirs), content), files1[ino0] = mkfile(m2, md0, # links(ino0, dirs), content0), afs-cons(dirs, files1), ino0 ∈ files1, ino ∈ files1 ⊦ m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content0, m = m0 ∧ md = md1 ∧ # links(ino, dirs) = m1 ∧ content.stream to m0 = content1.stream to m0

Rule argument

spec: abstract-file name: elim seq: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content) subst: [af, m, md, m0, content] → [(ino = ino0 ⊃ mkfile(m2, md0, # links(ino0, dirs), content0 upto m2) ;mkfile(m, md, # links(ino, dirs), content) ), m0, md1, m1, content1]

Additional information

Used simplifier rules: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content); (elim) Used terms: (ino = ino0 ⊃ mkfile(m2, md0, # links(ino0, dirs), content0 upto m2) ;mkfile(m, md, # links(ino, dirs), content) ), m0, md1, m1, content1