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Theorem base for Specification IO-Aut-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:
inj-IOAut ⊦ IOAut(start, step, ext) = IOAut(start0, step0, ext0) ↔ start = start0 ∧ step = step0 ∧ ext = ext0 An Axiom
sel-IOAut-dotext ⊦ IOAut(start, step, ext).ext = ext An Axiom
case-IOAutomaton ⊦ IOAut(ioaut.start, ioaut.step, ioaut.ext) = ioaut An Axiom
sel-IOAut-dotstart ⊦ IOAut(start, step, ext).start = start An Axiom
elim-IOAut ⊦ (start = ioaut.start ∧ step = ioaut.step) ∧ ext = ioaut.ext ↔ ioaut = IOAut(start, step, ext) An Axiom
sel-IOAut-dotstep ⊦ IOAut(start, step, ext).step = step An Axiom
gen-IOAutomatonIOAutomaton('s, 'a, 'e) freely generated by IOAut; An Axiom