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Proof step 45 from proof prepost-encode-group-nodes (previous step)

# buf1 = gndx3.flashsize + # buf, # buf3 = gndx0.flashsize, # buf = 2 * NODE_HEADER_SIZE + gnd.alignedsize, # buf0 = gndx3.flashsize, # gndx0 = # lax, subarray(buf1, # buf, gndx3.flashsize) = subarray(buf0 + buf, # buf, gndx3.flashsize), abs-node(subarray(buf1, 0, # buf), gnd), abs-nodes(buf3, n, gndx0, lax, false) ⊦ ∃ buf, buf0. buf3 + buf1 = 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 46:
⊦ m + n = n + m
Proof step 47:
# gndx0 = # lax, # buf0 = gndx3.flashsize, # buf = 2 * NODE_HEADER_SIZE + gnd.alignedsize, # buf3 = gndx0.flashsize, # buf1 = # buf + gndx3.flashsize, subarray(buf1, # buf, gndx3.flashsize) = subarray(buf0 + buf, # buf, gndx3.flashsize), abs-node(subarray(buf1, 0, # buf), gnd), abs-nodes(buf3, n, gndx0, lax, false) ⊦ ∃ buf, buf0. buf3 + buf1 = 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] → [# buf, gndx3.flashsize] flags: <all paths>

Additional information

Used terms: # buf, gndx3.flashsize