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Proof step 131 from proof unchanged-junkrefs-level (previous step)

level⊆(str, str0), unchanged(str0, r, st, st1), junkrefs(str, r ' + refs0, ty, st), is_valid_ref(str, r, st1), st1[r -- _type] .type ≤ ty, ∀ str0, st, st1, str, ty. unchanged(str0, refs0 .first, st, st1) ∧ junkrefs(str, refs0, ty, st) ∧ level⊆(str, str0) → junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + refs0, ty, st1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ¬ (∀ r0. (path∃(str, r, r0, st) ↔ path∃(str, r, r0, st0)) ∧ (path∃(str, r, r0, st) → unchangedNorec(r0, st, st0))) → ¬ unchanged(str, r, st, st0)
Proof step 130:
¬ ¬ (∀ r0. (path∃(str0, r, r0, st) ↔ path∃(str0, r, r0, st1)) ∧ (path∃(str0, r, r0, st) → unchangedNorec(r0, st, st1))), level⊆(str, str0), unchanged(str0, r, st, st1), junkrefs(str, r ' + refs0, ty, st), is_valid_ref(str, r, st1), st1[r -- _type] .type ≤ ty, ∀ str0, st, st1, str, ty. unchanged(str0, refs0 .first, st, st1) ∧ junkrefs(str, refs0, ty, st) ∧ level⊆(str, str0) → junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + refs0, ty, st1)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: unchanged-def-keep antecedent: succedent: ¬ (∀ r0. (path∃(str, r, r0, st) ↔ path∃(str, r, r0, st0)) ∧ ( path∃(str, r, r0, st) → unchangedNorec(r0, st, st0))) → ¬ unchanged(str, r, st, st0) substlist: [st0, st, r, str] → [st1, st, r, str0] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st1, st, r, str0)]]