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Proof step 42 from proof prepost-encode-group-nodes (previous step)

# gndx0 = # lax, # buf0 = gndx3.flashsize, # buf = 2 * NODE_HEADER_SIZE + gnd.alignedsize, # buf2 = gndx0.flashsize + gndx3.flashsize + # buf, subarray(buf2, gndx0.flashsize + # buf, gndx3.flashsize) = subarray(buf0 + buf, # buf, gndx3.flashsize), abs-node(subarray(buf2, gndx0.flashsize, # buf), gnd), abs-nodes(subarray(buf2, 0, gndx0.flashsize), n, gndx0, lax, false) ⊦ ∃ buf, buf0. buf2 = buf + buf0 ∧ # buf = gndx0.flashsize + 2 * NODE_HEADER_SIZE + gnd.alignedsize ∧ abs-nodes(buf, n, gndx0 + gnd ', lax + @(n + gndx0.flashsize, 2 * NODE_HEADER_SIZE + gnd.alignedsize) ', false)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array-splice, inst: buffer name: array-split-elim-size seq: ⊦ # buf = n0 + n1 ↔ (∃ buf0, buf1. buf = buf0 + buf1 ∧ # buf0 = n0 ∧ # buf1 = n1) subst: [n1, n0, buf] → [gndx3.flashsize + # buf, gndx0.flashsize, buf2] flags: <all paths>

Additional information

Used terms: gndx3.flashsize + # buf, gndx0.flashsize, buf2