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Proof step 7 from proof abs-nodes-no-padding-rec (previous step)

# buf = (2 * NODE_HEADER_SIZE + a.alignedsize) + x.flashsize ⊦ abs-nodes(buf, m, a ' + x, @(m0, m1) ' + lax0, false) ↔ (∃ buf0, buf1. buf = buf0 + buf1 ∧ m0 = m ∧ m1 = # buf0 ∧ abs-node(buf0, a) ∧ abs-nodes(buf1, m + # buf0, x, lax0, false))

User applied rule case distinction

And obtained the following new goals

Proof step 8:
# buf = (2 * NODE_HEADER_SIZE + a.alignedsize) + x.flashsize, abs-nodes(buf, m, a ' + x, @(m0, m1) ' + lax0, false) ⊦ ∃ buf0, buf1. buf = buf0 + buf1 ∧ m0 = m ∧ m1 = # buf0 ∧ abs-node(buf0, a) ∧ abs-nodes(buf1, m + # buf0, x, lax0, false)
Proof step 17:
# buf = (2 * NODE_HEADER_SIZE + a.alignedsize) + x.flashsize, ∃ buf0, buf1. buf = buf0 + buf1 ∧ m0 = m ∧ m1 = # buf0 ∧ abs-node(buf0, a) ∧ abs-nodes(buf1, m + # buf0, x, lax0, false) ⊦ abs-nodes(buf, m, a ' + x, @(m0, m1) ' + lax0, false)

Rule argument

pos: right 1

Proof step 7 from proof abs-nodes-no-padding-rec (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information