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Proof step 4 from proof P-ext (previous step)

∀ n. (n ∈ content ↔ datakey(ino, n) ∈ ri) ∧ (n ∈ content → content[n] = fs[ri[datakey(ino, n)]].data) ⊦ ∀ n. (n ∈ content ↔ n ∈ abs-content(ino, fs, ri)) ∧ (n ∈ content → content[n] = abs-content(ino, fs, ri)[n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
∀ n. (n ∈ content ↔ datakey(ino, n) ∈ ri) ∧ (n ∈ content → content[n] = fs[ri[datakey(ino, n)]].data) ⊦ (n ∈ content ↔ datakey(ino, n) ∈ ri) ∧ (n ∈ content → content[n] = abs-content(ino, fs, ri)[n])

Rule argument

Additional information

Used simplifier rules: in-content: ⊦ n ∈ abs-content(ino, fs, ri) ↔ datakey(ino, n) ∈ ri;