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Theorem base for Specification node-header

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 ⊦ nodeheader(m, boolvar).size = m An Axiom
inj ⊦ nodeheader(m, boolvar) = nodeheader(m0, boolvar0) ↔ m = m0 ∧ (boolvar ↔ boolvar0) An Axiom
case ⊦ nodeheader(ndhd.size, ndhd.ispadding) = ndhd An Axiom
gennode-header freely generated by nodeheader; An Axiom
sel-01 ⊦ nodeheader(m, boolvar).ispadding ↔ boolvar An Axiom
elim ⊦ m = ndhd.size ∧ (boolvar ↔ ndhd.ispadding) ↔ ndhd = nodeheader(m, boolvar) An Axiom
updsel-01 ⊦ (ndhd.size:= m).size = m An Axiom
updsel-02 ⊦ (ndhd.ispadding:= boolvar).size = ndhd.size An Axiom
updsel-03 ⊦ (ndhd.size:= m).ispadding ↔ ndhd.ispadding An Axiom
updsel-04 ⊦ (ndhd.ispadding:= boolvar).ispadding ↔ boolvar An Axiom
upd-01 ⊦ nodeheader(m, boolvar).size:= m0 = nodeheader(m0, boolvar) An Axiom
upd-02 ⊦ nodeheader(m, boolvar).ispadding:= boolvar0 = nodeheader(m, boolvar0) An Axiom