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Theorem base for Specification vidheader

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:
sel-01 ⊦ vidhdr(v, m, m0, m1, m2).checksum = m2 An Axiom
sel-02 ⊦ vidhdr(v, m, m0, m1, m2).size = m1 An Axiom
sel-03 ⊦ vidhdr(v, m, m0, m1, m2).vol = v An Axiom
sel-04 ⊦ vidhdr(v, m, m0, m1, m2).sqn = m0 An Axiom
sel-05 ⊦ vidhdr(v, m, m0, m1, m2).leb = m An Axiom
upd-01 ⊦ vidhdr(v, m, m0, m1, m2).vol:= v0 = vidhdr(v0, m, m0, m1, m2) An Axiom
upd-02 ⊦ vidhdr(v, m, m0, m1, m2).checksum:= m6 = vidhdr(v, m, m0, m1, m6) An Axiom
upd-03 ⊦ vidhdr(v, m, m0, m1, m2).leb:= m3 = vidhdr(v, m3, m0, m1, m2) An Axiom
upd-04 ⊦ vidhdr(v, m, m0, m1, m2).size:= m5 = vidhdr(v, m, m0, m5, m2) An Axiom
upd-05 ⊦ vidhdr(v, m, m0, m1, m2).sqn:= m4 = vidhdr(v, m, m4, m1, m2) An Axiom
updsel-01 ⊦ (vhdr.vol:= v).vol = v An Axiom
updsel-02 ⊦ (vhdr.checksum:= m2).vol = vhdr.vol An Axiom
updsel-03 ⊦ (vhdr.leb:= m).vol = vhdr.vol An Axiom
updsel-04 ⊦ (vhdr.checksum:= m2).checksum = m2 An Axiom
updsel-05 ⊦ (vhdr.sqn:= m0).vol = vhdr.vol An Axiom
updsel-06 ⊦ (vhdr.checksum:= m2).leb = vhdr.leb An Axiom
updsel-07 ⊦ (vhdr.size:= m1).vol = vhdr.vol An Axiom
updsel-08 ⊦ (vhdr.size:= m1).checksum = vhdr.checksum An Axiom
updsel-09 ⊦ (vhdr.checksum:= m2).sqn = vhdr.sqn An Axiom
updsel-10 ⊦ (vhdr.sqn:= m0).checksum = vhdr.checksum An Axiom
updsel-11 ⊦ (vhdr.vol:= v).leb = vhdr.leb An Axiom
updsel-12 ⊦ (vhdr.checksum:= m2).size = vhdr.size An Axiom
updsel-13 ⊦ (vhdr.leb:= m).leb = m An Axiom
updsel-14 ⊦ (vhdr.size:= m1).size = m1 An Axiom
updsel-15 ⊦ (vhdr.sqn:= m0).leb = vhdr.leb An Axiom
updsel-16 ⊦ (vhdr.sqn:= m0).size = vhdr.size An Axiom
updsel-17 ⊦ (vhdr.size:= m1).leb = vhdr.leb An Axiom
updsel-18 ⊦ (vhdr.leb:= m).size = vhdr.size An Axiom
updsel-19 ⊦ (vhdr.leb:= m).checksum = vhdr.checksum An Axiom
updsel-20 ⊦ (vhdr.vol:= v).size = vhdr.size An Axiom
updsel-21 ⊦ (vhdr.vol:= v).sqn = vhdr.sqn An Axiom
updsel-22 ⊦ (vhdr.vol:= v).checksum = vhdr.checksum An Axiom
updsel-23 ⊦ (vhdr.leb:= m).sqn = vhdr.sqn An Axiom
updsel-24 ⊦ (vhdr.size:= m1).sqn = vhdr.sqn An Axiom
updsel-25 ⊦ (vhdr.sqn:= m0).sqn = m0 An Axiom
inj ⊦ vidhdr(v, m, m0, m1, m2) = vidhdr(v0, m3, m4, m5, m6) ↔ v = v0 ∧ m = m3 ∧ m0 = m4 ∧ m1 = m5 ∧ m2 = m6 An Axiom
case ⊦ vidhdr(vhdr.vol, vhdr.leb, vhdr.sqn, vhdr.size, vhdr.checksum) = vhdr An Axiom
elim ⊦ (((v = vhdr.vol ∧ m = vhdr.leb) ∧ m0 = vhdr.sqn) ∧ m1 = vhdr.size) ∧ m2 = vhdr.checksum ↔ vhdr = vidhdr(v, m, m0, m1, m2) An Axiom
genvidheader freely generated by vidhdr; An Axiom