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Proof step 9 from proof gengft (previous step)

okval(st[r -- mkfs(class, ty, fieldvar) '], ty), r ∈ st, okval(val, ty), r -- mkfs(class, ty, fieldvar) ' ∈ st, fieldvar0 ≠ fieldvar ∨ ty0 ≠ ty ∨ class0 ≠ class ⊦ r -- mkfs(class0, ty0, fieldvar0) ' ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ∧ okval(st[r -- mkfs(class, ty, fieldvar) ', val][r -- mkfs(class0, ty0, fieldvar0) '], ty0) ↔ r -- mkfs(class0, ty0, fieldvar0) ' ∈ st ∧ okval(st[r -- mkfs(class0, ty0, fieldvar0) '], ty0), mkfs(class, ty, fieldvar) ' = _type

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 8:
okval(st[r -- mkfs(class, ty, fieldvar) '], ty), r ∈ st, okval(val, ty), r -- mkfs(class, ty, fieldvar) ' ∈ st, fieldvar0 ≠ fieldvar ∨ ty0 ≠ ty ∨ class0 ≠ class ⊦ r -- mkfs(class0, ty0, fieldvar0) ' = r -- mkfs(class, ty, fieldvar) ', r -- mkfs(class0, ty0, fieldvar0) ' ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ∧ okval(st[r -- mkfs(class, ty, fieldvar) ', val][r -- mkfs(class0, ty0, fieldvar0) '], ty0) ↔ r -- mkfs(class0, ty0, fieldvar0) ' ∈ st ∧ okval(st[r -- mkfs(class0, ty0, fieldvar0) '], ty0), mkfs(class, ty, fieldvar) ' = _type

Rule argument

[fma-arg: r -- mkfs(class0, ty0, fieldvar0) ' = r -- mkfs(class, ty, fieldvar) ' ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0])], [EXTRAFMAS : ( r -- mkfs(class0, ty0, fieldvar0) ' = r -- mkfs(class, ty, fieldvar) ')]]