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Theorem base for Specification file-data

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 ⊦ mkfile(md, buf).content = buf An Axiom
sel-02 ⊦ mkfile(md, buf).meta = md An Axiom
upd-01 ⊦ mkfile(md, buf).meta:= md0 = mkfile(md0, buf) An Axiom
upd-02 ⊦ mkfile(md, buf).content:= buf0 = mkfile(md, buf0) An Axiom
updsel-01 ⊦ (f.meta:= md).meta = md An Axiom
updsel-02 ⊦ (f.content:= buf).meta = f.meta An Axiom
updsel-03 ⊦ (f.content:= buf).content = buf An Axiom
updsel-04 ⊦ (f.meta:= md).content = f.content An Axiom
inj ⊦ mkfile(md, buf) = mkfile(md0, buf0) ↔ md = md0 ∧ buf = buf0 An Axiom
case ⊦ mkfile(f.meta, f.content) = f An Axiom
elim ⊦ md = f.meta ∧ buf = f.content ↔ f = mkfile(md, buf) An Axiom
genfile-data freely generated by mkfile; An Axiom
setcontent ⊦ f.content:= buf = mkfile(f.meta, buf) A User Theorem
setmeta ⊦ f.meta:= md = mkfile(md, f.content) A User Theorem