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Theorem base for Specification node-header-size

This is a listing of all goals defined over the current specification. Axioms are marked yellow, proved theorems green and unproved theorems blue. Click on individual names to get more information on the proof.

Name: Sequent: Type:
nodeheader-notzero ⊦ NODE_HEADER_SIZE ≠ 0 An Axiom
nodeheader-pagesize ⊦ is-aligned(EB_PAGE_SIZE, 2 * NODE_HEADER_SIZE) An Axiom
validtrailer-not-empty ⊦ ¬ isempty(validtrailer) An Axiom
validtrailer-size ⊦ # validtrailer = NODE_HEADER_SIZE An Axiom
isvalidtrailer ⊦ isvalidtrailer(buf) ↔ buf = validtrailer An Axiom
2-node-header-size-add-eq-0 ⊦ 2 * NODE_HEADER_SIZE + n ≠ 0 A User Theorem
headersize2-mod-pagesize-is-0 ⊦ (2 * NODE_HEADER_SIZE) % EB_PAGE_SIZE = 0 ↔ EB_PAGE_SIZE = 2 * NODE_HEADER_SIZE A User Theorem
is-aligned-nodeheadersize-mod-pagesize ⊦ is-aligned(n, NODE_HEADER_SIZE) → is-aligned(n % EB_PAGE_SIZE, NODE_HEADER_SIZE) A User Theorem
is-aligned-pagesize-imp-2headersize ⊦ is-aligned(n, EB_PAGE_SIZE) → is-aligned(n, 2 * NODE_HEADER_SIZE) A User Theorem
is-aligned-pagesize-imp-headersize ⊦ is-aligned(n, EB_PAGE_SIZE) → is-aligned(n, NODE_HEADER_SIZE) A User Theorem
leb-size-aligned-2-node-header ⊦ is-aligned(LEB_SIZE, 2 * NODE_HEADER_SIZE) A User Theorem
leb-size-aligned-node-header ⊦ is-aligned(LEB_SIZE, NODE_HEADER_SIZE) A User Theorem
node-header-size-add-eq-0 ⊦ NODE_HEADER_SIZE + n ≠ 0 A User Theorem
node-header-size-ls-2-node-header-size ⊦ NODE_HEADER_SIZE < 2 * NODE_HEADER_SIZE A User Theorem
page-size-aligned-node-header ⊦ is-aligned(EB_PAGE_SIZE, NODE_HEADER_SIZE) A User Theorem
validtrailer-neq-0 ⊦ validtrailer ≠ mkbuf(0) A User Theorem
validtrailer-neq-empty ⊦ isempty(buf) → validtrailer ≠ buf A User Theorem