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Proof step 8 from proof pebsize-le-minus-eb-page-size (previous step)

n < PAGES_PER_LEB * EB_PAGE_SIZE + EB_PAGE_SIZE, PAGES_PER_PEB * EB_PAGE_SIZE ≤ EB_PAGE_SIZE + n ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
⊦ PAGES_PER_PEB = PAGES_PER_LEB + 2
Proof step 10:
⊦ EB_PAGE_SIZE + n = 0 ↔ false
Proof step 11:
n < PAGES_PER_LEB * EB_PAGE_SIZE + EB_PAGE_SIZE, (PAGES_PER_LEB + 2) * EB_PAGE_SIZE ≤ EB_PAGE_SIZE + n ⊦

Rule argument

Additional information

Used simplifier rules: peb-size: ⊦ PAGES_PER_PEB = PAGES_PER_LEB + 2;%page-size-plus-eq-0: ⊦ EB_PAGE_SIZE + n = 0 ↔ false;%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic