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Proof step 9 from proof range-eq-validtrailer (previous step)

subarray(buf + mkempbuf(n), m, NODE_HEADER_SIZE) = validtrailer, is-aligned(m, NODE_HEADER_SIZE), is-aligned(# buf, NODE_HEADER_SIZE), m + NODE_HEADER_SIZE ≤ # buf + n ⊦ m + NODE_HEADER_SIZE ≤ # buf ∧ subarray(buf, m, NODE_HEADER_SIZE) = validtrailer

User applied rule cut formula

And obtained the following new goals

Proof step 10:
subarray(buf + mkempbuf(n), m, NODE_HEADER_SIZE) = validtrailer, is-aligned(# buf, NODE_HEADER_SIZE), is-aligned(m, NODE_HEADER_SIZE), m + NODE_HEADER_SIZE ≤ # buf + n, # buf ≤ m ⊦ m + NODE_HEADER_SIZE ≤ # buf ∧ subarray(buf, m, NODE_HEADER_SIZE) = validtrailer
Proof step 27:
subarray(buf + mkempbuf(n), m, NODE_HEADER_SIZE) = validtrailer, is-aligned(# buf, NODE_HEADER_SIZE), is-aligned(m, NODE_HEADER_SIZE), m + NODE_HEADER_SIZE ≤ # buf + n ⊦ # buf ≤ m, m + NODE_HEADER_SIZE ≤ # buf ∧ subarray(buf, m, NODE_HEADER_SIZE) = validtrailer

Rule argument

fma: # buf ≤ m

Additional information

Used formulas: # buf ≤ m