[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 32 from proof refine-sync (previous step)

remove-refsize0(istore1) = istore1, remove-refsize0(gstore2) = gstore2, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, btree-inv(rp, adr, istore2, istore1, zh, fi, fi0), inv(istore1), inv(istore2), inv(gstore2), inv(gstore0 \ ginval0), ri-inj(fi0), ri-inj(fi), istore1 ⊑ istore2, pstate = unbuffered → syn0, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore0 ⊦ ⟪fail_or_success#(; ; err); syn0 := err = ESUCCESS; skip or pstate := readonly⟫ ⟨index_sync#(fi, fi0, ginval0, gstore0, gstore2, nx0, maxino0, ginval2; ; syn1, err0)⟩ ((syn1 ↔ syn0) ∧ err = err0), pstate = unbuffered, pstate = readonly, dups(nx0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
remove-refsize0(gstore2) = gstore2, remove-refsize0(istore1) = istore1, elems nx0 ∩ ginval0 = ∅, dom gstore2 ∪ elems nx0 = dom gstore0 ∪ ginval0, pstate ≠ readonly, pstate ≠ unbuffered, btree-inv(rp, adr, istore2, istore1, zh, fi, fi0), inv(gstore0 \ ginval0), inv(gstore2), inv(istore2), inv(istore1), ri-inj(fi), ri-inj(fi0), istore1 ⊑ istore2, ¬ dups(nx0), pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore0, pstate.index? → pstate.lnum ∈ istore2 ⊦ ⟪fail_or_success#(; ; err); syn0 := err = ESUCCESS; skip or pstate := readonly⟫ ⟨index_sync#(fi, fi0, ginval0, gstore0, gstore2, nx0, maxino0, ginval2; ; syn1, err0)⟩ ((syn1 ↔ syn0) ∧ err = err0)

Proof step 32 from proof refine-sync (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information