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Proof step 8 from proof inv-read-gnd (previous step)

remove-refsize0(istore1) = istore1, remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, btree-inv(rp, adr, istore2, istore1, zh, ri, fi), inv(istore1), inv(istore2), inv(gstore1), inv(gstore2 \ ginval2), @(m, m0, m1) ∈ gstore2, istore1 ⊑ istore2, ¬ dups(nx), ¬ m ∈ ginval2, pstate = unbuffered → syn, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2 ⊦ ⟪apersistence_read_gnd#(@(m, m0, m1), adr, istore2, istore1, ginval2, gstore2, gstore1, nx, maxino, ginval, pstate, syn; gnd; err)⟫ true

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 9:
adr0 = @(m, m0, m1), ginval0 = ginval2, gstore = gstore1, gstore0 = gstore2, istore = istore1, istore0 = istore2, remove-refsize0(gstore1) = gstore1, remove-refsize0(istore1) = istore1, elems nx ∩ ginval2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval2, btree-inv(rp, adr, istore2, istore1, zh, ri, fi), inv(gstore2 \ ginval2), inv(gstore1), inv(istore2), inv(istore1), @(m, m0, m1) ∈ gstore2, istore1 ⊑ istore2, pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore2, pstate.index? → pstate.lnum ∈ istore2, pstate = unbuffered → syn ⊦ ⟪if adr0 ∈ gstore0 ∧ ¬ adr0.lnum ∈ ginval0 then {fail_or_success#(; ; err); if err = ESUCCESS then gnd := gstore0[adr0] else gnd := ?} else abort⟫ true, dups(nx), m ∈ ginval2

Rule argument

pos: right 1

Additional information

Used simplifier rules: apersistence_read_gnd# (ADR, ROOTADR, ISTORE, ISTORE0, GINVAL, GSTORE, GSTORE0, NL, MAXINO, OS, PSTATE, PSYNCED ; GND ; ERR ) {if ADR ∈ GSTORE ∧ ¬ ADR.lnum ∈ GINVAL then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then GND := GSTORE[ADR] else GND := ?} else abort };