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Proof step 18 from proof crash-exists-h (previous step)

∀ sdt0, fs0. # sdt0 < # ∅ → (∀ str. str ∈ sdt0 → (∀ fs0. ∃ fs1. (∀ fid. fid ∈ fs1 ↔ fid ∈ sdt0[str].fids ∧ fid ∈ fs0) ∧ (∀ fid. fid ∈ fs1 → fs1[fid] = fs0[fid]))) → (∃ fs1. (∀ fid0. fid0 ∈ fs1 ↔ fid0 ∈ sdt0.fids ∧ fid0 ∈ fs0) ∧ (∀ fid. fid ∈ fs1 → fs1[fid] = fs0[fid])) ⊦ ∃ fs. (∀ fid. ¬ fid ∈ fs) ∧ (∀ fid. fid ∈ fs → fs[fid] = fs0[fid])

User applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: ∅ abort: F discard: F computed: F

Additional information

Used simplifier rules: ⊦ ¬ fid ∈ ∅; (s) Used terms: ∅