[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 4 from proof pebsize-le-2page-size (previous step)

PEB_SIZE < 2 * EB_PAGE_SIZE ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ PEB_SIZE = PAGES_PER_PEB * EB_PAGE_SIZE
Proof step 6:
⊦ PAGES_PER_PEB = PAGES_PER_LEB + 2
Proof step 7:
⊦ EB_PAGE_SIZE ≠ 0

Rule argument

spec: <toplevel> name: pebsize seq: ⊦ PEB_SIZE = PAGES_PER_PEB * EB_PAGE_SIZE subst: flags: <all paths>

Additional information

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