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Proof step 53 from proof put-switch-primval-field-index (previous step)

∃ i. sk = i ', fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st), fits(r0, sks + sk ', st) ⊦ (st[r -- (sks1 + mkfs(class, ty, fieldvar) ' '), val][r0 -- (sks + sk '), val0]) = (st[r0 -- (sks + sk '), val0][r -- (sks1 + mkfs(class, ty, fieldvar) ' '), val]), mkfs(class, ty, fieldvar) ' = sk, junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r0 -- (sks + sk ')]), is_reftype(ty), is_referencevalue(val0), is_referencevalue(val)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 52:
fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st), fits(r0, sks + i ' ', st) ⊦ (st[r -- (sks1 + mkfs(class, ty, fieldvar) ' '), val][r0 -- (sks + i ' '), val0]) = (st[r0 -- (sks + i ' '), val0][r -- (sks1 + mkfs(class, ty, fieldvar) ' '), val]), junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r0 -- (sks + i ' ')]), is_reftype(ty), is_referencevalue(val0), is_referencevalue(val)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : storekey, , disj, ⊦ fs ' ≠ i '])]]