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Proof step 1 from proof replay-log-gc-copy (conclusion)

# ax = # kx ⊦ ri-cons(ri, fs) ∧ kx.toSet ⊆ dom ri ∧ new(ax, fs) ∧ ¬ dups(ax) ∧ ¬ dups(kx) ∧ orphans-cons(fs, ri, ro) ∧ ri-closed(ri, fs, ro) ∧ ro.inodes? → replay-log(ax, fs[ax, fs[ri[kx]]], ri ⊖ ro) = ri[kx, ax] ⊖ ro

System applied rule normalize

And obtained the following new goals

Proof step 2:
# ax = # kx, ro.inodes?, new(ax, fs), orphans-cons(fs, ri, ro), ri-closed(ri, fs, ro), ri-cons(ri, fs), kx.toSet ⊆ dom ri ⊦ replay-log(ax, fs[ax, fs[ri[kx]]], ri ⊖ ro) = ri[kx, ax] ⊖ ro, dups(kx), dups(ax)

Proof step 1 from proof replay-log-gc-copy (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information