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Theorem base for Specification icache-entry

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 ⊦ mkientry(boolvar, inode).inode = inode An Axiom
sel-02 ⊦ mkientry(boolvar, inode).dirty ↔ boolvar An Axiom
upd-01 ⊦ mkientry(boolvar, inode).inode:= inode0 = mkientry(boolvar, inode0) An Axiom
upd-02 ⊦ mkientry(boolvar, inode).dirty:= boolvar0 = mkientry(boolvar0, inode) An Axiom
updsel-01 ⊦ (ie.inode:= inode).inode = inode An Axiom
updsel-02 ⊦ (ie.dirty:= boolvar).inode = ie.inode An Axiom
updsel-03 ⊦ (ie.inode:= inode).dirty ↔ ie.dirty An Axiom
updsel-04 ⊦ (ie.dirty:= boolvar).dirty ↔ boolvar An Axiom
inj ⊦ mkientry(boolvar, inode) = mkientry(boolvar0, inode0) ↔ (boolvar ↔ boolvar0) ∧ inode = inode0 An Axiom
case ⊦ mkientry(ie.dirty, ie.inode) = ie An Axiom
elim ⊦ (boolvar ↔ ie.dirty) ∧ inode = ie.inode ↔ ie = mkientry(boolvar, inode) An Axiom
genicache-entry freely generated by mkientry; An Axiom