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Proof step 5 from proof pathex-levelsubset-equiv (previous step)

path∃(str0, r, r0, st), level⊆(str, str0) ⊦ path∃(str, r, r0, st), junkref(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ level⊆(str, str0) ∧ path∃(str0, r, r0, st) ∧ validref(str, r, ty, st) → path∃(str, r, r0, st)
Proof step 4:
¬ (level⊆(str, str0) ∧ path∃(str0, r, r0, st) ∧ validref(str, r, st[r -- _type] .type, st)), path∃(str0, r, r0, st), level⊆(str, str0) ⊦ path∃(str, r, r0, st), junkref(str, r, st)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: pathex-levelsubset-01 antecedent: succedent: level⊆(str, str0) ∧ path∃(str0, r, r0, st) ∧ validref(str, r, ty, st) → path∃(str, r, r0, st) substlist: [ty, str0, st, r0, r, str] → [st[r -- _type] .type, str0, st, r0, r, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- _type] .type, str0, st, r0, r, str)]]