[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 22 from proof stsubset-03 (previous step)

newref(r, st) ⊦ (∀ rk. rk ∈ st → rk ∈ addarray(r, ty, i, st0) ∧ st[rk] = (addarray(r, ty, i, st0)[rk])) ↔ (∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk]), r = jvmref

User applied rule case distinction

And obtained the following new goals

Proof step 13:
∀ rk. rk ∈ st → rk ∈ addarray(r, ty, i, st0) ∧ st[rk] = (addarray(r, ty, i, st0)[rk]), newref(r, st) ⊦ ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk], r = jvmref
Proof step 21:
∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk], newref(r, st) ⊦ ∀ rk. rk ∈ st → rk ∈ addarray(r, ty, i, st0) ∧ st[rk] = (addarray(r, ty, i, st0)[rk]), r = jvmref

Rule argument

[CASEDARG : pos: right 1, ()]

Additional information

[[CONCRETESIMPRULES : ()]]