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Proof step 5 from proof meta-path (previous step)

ispath(p, n, m, dirs, files), ispath(p, n, dirs, files) ⊦ (lookup(p, n, dirs, files) ∈ dirs ⊃ dirs[lookup(p, n, dirs, files)].meta;files[lookup(p, n, dirs, files)].meta) = meta(ε, m, dirs, files)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
ispath(p, n, m, dirs, files) ⊦ (m ∈ dirs ⊃ dirs[m].meta;files[m].meta) = meta(ε, m, dirs, files)

Rule argument

Additional information

Used simplifier rules: path-lookup: ⊦ ispath(p, n, m, dirs, files) → lookup(p, n, dirs, files) = m;%isexpath: ⊦ ispath(p, n, m, dirs, files) → ispath(p, n, dirs, files);