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Proof step 37 from proof prepost-encode-group-nodes (previous step)

# buf1 = (2 * NODE_HEADER_SIZE + gnd.alignedsize) + gndx3.flashsize, # gndx0 = # lax, # buf2 = gndx0.flashsize + # buf1, subarray(buf2, gndx0.flashsize + 2 * NODE_HEADER_SIZE + gnd.alignedsize, gndx3.flashsize) = subarray(buf1, 2 * NODE_HEADER_SIZE + gnd.alignedsize, gndx3.flashsize), abs-node(subarray(buf2, gndx0.flashsize, 2 * NODE_HEADER_SIZE + gnd.alignedsize), 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

Proof step 38:
⊦ m + n = n + m
Proof step 39:
# buf2 = gndx0.flashsize + # buf1, # gndx0 = # lax, # buf1 = gndx3.flashsize + 2 * NODE_HEADER_SIZE + gnd.alignedsize, subarray(buf2, gndx0.flashsize + 2 * NODE_HEADER_SIZE + gnd.alignedsize, gndx3.flashsize) = subarray(buf1, 2 * NODE_HEADER_SIZE + gnd.alignedsize, gndx3.flashsize), abs-node(subarray(buf2, gndx0.flashsize, 2 * NODE_HEADER_SIZE + gnd.alignedsize), 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)

Rule argument

spec: nat-basic name: c seq: ⊦ m + n = n + m subst: [n, m] → [gndx3.flashsize, 2 * NODE_HEADER_SIZE + gnd.alignedsize] flags: <all paths>

Additional information

Used terms: gndx3.flashsize, 2 * NODE_HEADER_SIZE + gnd.alignedsize