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Proof step 2 from proof pebsize-simp-ls (previous step)

PEB_SIZE < PAGES_PER_PEB * EB_PAGE_SIZE ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ PAGES_PER_PEB = PAGES_PER_LEB + 2
Proof step 4:
⊦ EB_PAGE_SIZE ≠ 0
Proof step 5:
PEB_SIZE < (PAGES_PER_LEB + 2) * EB_PAGE_SIZE ⊦

Rule argument

Additional information

Used simplifier rules: peb-size: ⊦ PAGES_PER_PEB = PAGES_PER_LEB + 2;%page-size: ⊦ EB_PAGE_SIZE ≠ 0;%mult-c: ⊦ m * n = n * m; from specification nat-mult%mult-a: ⊦ m0 * m * n = (m0 * m) * n; from specification nat-mult%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%n < n0 ⊦ (* n) ≠ m0 + (* n0); (s)% ⊦ m0 * m = 0 ↔ m0 = 0 ∨ m = 0; (ws)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic