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Proof step 21 from proof nonnullrefs-in (previous step)

∀ r0. r0 ∈ vals0 .nonnullrefs ↔ r0 ≠ jvmref ∧ (∃ m. vals0[m] = refval(r0) ∧ m < # vals0) ⊦ r1 = jvmref, r = r1 ∨ r ∈ vals0 .nonnullrefs ↔ r ≠ jvmref ∧ (∃ m. (refval(r1) ' + vals0)[m] = refval(r) ∧ ¬ # vals0 < m)

User applied rule cut formula

And obtained the following new goals

Proof step 7:
r ∈ vals0 .nonnullrefs, ∀ r0. r0 ∈ vals0 .nonnullrefs ↔ r0 ≠ jvmref ∧ (∃ m. vals0[m] = refval(r0) ∧ m < # vals0) ⊦ r1 = jvmref, r = r1 ∨ r ∈ vals0 .nonnullrefs ↔ r ≠ jvmref ∧ (∃ m. (refval(r1) ' + vals0)[m] = refval(r) ∧ ¬ # vals0 < m)
Proof step 20:
∀ r0. r0 ∈ vals0 .nonnullrefs ↔ r0 ≠ jvmref ∧ (∃ m. vals0[m] = refval(r0) ∧ m < # vals0) ⊦ r ∈ vals0 .nonnullrefs, r1 = jvmref, r = r1 ∨ r ∈ vals0 .nonnullrefs ↔ r ≠ jvmref ∧ (∃ m. (refval(r1) ' + vals0)[m] = refval(r) ∧ ¬ # vals0 < m)

Rule argument

[fma-arg: r ∈ vals0 .nonnullrefs]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (r ∈ vals0 .nonnullrefs)]]