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Proof step 5 from proof P-ext (previous step)

∀ 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])

User applied rule all left

And closed the goal!

Rule argument

pos: left 1 terms: n abort: F discard: T computed: T

Additional information

Used simplifier rules: at-content: ⊦ datakey(ino, n) ∈ ri → abs-content(ino, fs, ri)[n] = fs[ri[datakey(ino, n)]].data; Used terms: n