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Proof step 14 from proof all-classes-02 (previous step)

rk ∈ rks, r -- mkfs(stringvar .class, ty, fieldvar) ' ∈ rks, # str ≤ # stringvar, ∀ rk0. rk0 ≠ rk ∧ rk0 ∈ rks ∧ is_fskey(rk0 .key) → # rk0 .key .fs .class .class < # str, ∀ rks0. # rks0 < # rks → (true → (∃ str. ∀ rk. rk ∈ rks0 ∧ is_fskey(rk .key) → ¬ # str ≤ # rk .key .fs .class .class)) ⊦ # rks = 0, rks = ∅, ∃ str. ∀ rk. rk ∈ rks ∧ is_fskey(rk .key) → ¬ # str ≤ # rk .key .fs .class .class

User applied rule all left

And obtained the following new goals

Proof step 13:
rk ∈ rks, r -- mkfs(stringvar .class, ty, fieldvar) ' ∈ rks, # str ≤ # stringvar, r -- mkfs(stringvar .class, ty, fieldvar) ' ≠ rk ∧ r -- mkfs(stringvar .class, ty, fieldvar) ' ∈ rks ∧ is_fskey((r -- mkfs(stringvar .class, ty, fieldvar) ') .key) → # (r -- mkfs(stringvar .class, ty, fieldvar) ') .key .fs .class .class < # str, ∀ rk0. rk0 ≠ rk ∧ rk0 ∈ rks ∧ is_fskey(rk0 .key) → # rk0 .key .fs .class .class < # str, ∀ rks0. # rks0 < # rks → (true → (∃ str. ∀ rk. rk ∈ rks0 ∧ is_fskey(rk .key) → ¬ # str ≤ # rk .key .fs .class .class)) ⊦ # rks = 0, rks = ∅, ∃ str. ∀ rk. rk ∈ rks ∧ is_fskey(rk .key) → ¬ # str ≤ # rk .key .fs .class .class

Rule argument

[EXRARG : pos: left 4, [extquanttermlist: ( r -- mkfs(stringvar .class, ty, fieldvar) ') abort:F , discard:F , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r -- mkfs(stringvar .class, ty, fieldvar) ')]]