[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 15 from proof nonnullrefs-in-firstoc (previous step)

r ∈ vals0 .nonnullrefs → r ≠ jvmref ∧ vals0 = vals + refval(r) ' + vals1 ∧ ¬ refval(r) ∈ vals ⊦ r0 = jvmref, r ≠ jvmref ∧ (∃ vals, vals1. refval(r0) ' + vals0 = vals + refval(r) ' + vals1 ∧ ¬ refval(r) ∈ vals), r ≠ r0 ∧ ¬ r ∈ vals0 .nonnullrefs

User applied rule cut formula

And obtained the following new goals

Proof step 14:
r ≠ jvmref, r ∈ vals0 .nonnullrefs → r ≠ jvmref ∧ vals0 = vals + refval(r) ' + vals1 ∧ ¬ refval(r) ∈ vals ⊦ r0 = jvmref, r ≠ jvmref ∧ (∃ vals, vals1. refval(r0) ' + vals0 = vals + refval(r) ' + vals1 ∧ ¬ refval(r) ∈ vals), r ≠ r0 ∧ ¬ r ∈ vals0 .nonnullrefs

Rule argument

[fma-arg: r ≠ jvmref]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (r ≠ jvmref)]]