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Proof step 23 from proof validrefs-newref (previous step)

validrefs(str, r0 ' + acc, ty, st), newref(r, st), is_obj(str, r0, st) ∨ is_array(str, r0, st), st[r0 -- _type] .type ≤ ty, r ∈ acc, ∀ str, ty, st, r. validrefs(str, acc, ty, st) ∧ r ∈ acc ∧ newref(r, st) → r = jvmref ⊦ r0 = jvmref, r = jvmref, r = r0

User applied rule case distinction

And obtained the following new goals

Proof step 14:
is_obj(str, r0, st), validrefs(str, r0 ' + acc, ty, st), newref(r, st), st[r0 -- _type] .type ≤ ty, r ∈ acc, ∀ str, ty, st, r. validrefs(str, acc, ty, st) ∧ r ∈ acc ∧ newref(r, st) → r = jvmref ⊦ r0 = jvmref, r = jvmref, r = r0
Proof step 22:
is_array(str, r0, st), validrefs(str, r0 ' + acc, ty, st), newref(r, st), st[r0 -- _type] .type ≤ ty, r ∈ acc, ∀ str, ty, st, r. validrefs(str, acc, ty, st) ∧ r ∈ acc ∧ newref(r, st) → r = jvmref ⊦ r0 = jvmref, r = jvmref, r = r0

Rule argument

[CASEDARG : pos: left 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]