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Proof step 3 from proof prepost-remove-nonend-blocks (previous step)

ax = ax0, inv(gstore \ ginval), n ∈ gstore, ¬ n ∈ ginval ⊦ ⟪gjournal_remove_nonend_blocks#(n, ri, fi, ginval, gstore, gstore0, nx0, maxino, ns, boolvar0; ax; err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → ax = ax0 + prefixn(valid-group-nodes(gstore[n].gndlist), gstore[n].ladrlist).to-adr(n)))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
gstore[n] = groupblock(gndx, lax, m), ax = ax0, inv(gstore \ ginval), n ∈ gstore ⊦ ⟪gjournal_remove_nonend_blocks#(n, ri, fi, ginval, gstore, gstore0, nx0, maxino, ns, boolvar0; ax; err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → ax = ax0 + prefixn(valid-group-nodes(gndx), lax).to-adr(n))), n ∈ ginval

Rule argument

spec: ablock, inst: group-store name: elim seq: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m) subst: [gblock, gndx, lax, m] → [gstore[n], gndx, lax, m]

Additional information

Used simplifier rules: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m); (elim) Used terms: gstore[n], gndx, lax, m