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Step * of Lemma new_23_sig_RoundInfo-single-val

∀[Cmd:ValueAllType]. ∀[propose,notify:Atom List]. ∀[f:new_23_sig_headers_type{i:l}(Cmd;notify;propose)].
∀[es:EO+(Message(f))].
  single-valued-classrel(es;new_23_sig_RoundInfo(Cmd;notify;propose;f);ℤ × ℤ × Cmd)
BY
{ StartEmlProof }

1
1. Cmd : {T:Type| valueall-type(T)} 
2. propose : Atom List
3. notify : Atom List
4. f : new_23_sig_headers_type{i:l}(Cmd;notify;propose)
5. (f propose) = (ℤ × Cmd) ∈ Type
6. (f notify) = (ℤ × Cmd) ∈ Type
7. (f ``new_23_sig decided``) = (ℤ × Cmd) ∈ Type
8. (f ``new_23_sig retry``) = (ℤ × ℤ × Cmd) ∈ Type
9. (f ``new_23_sig vote``) = (ℤ × ℤ × Cmd × Id) ∈ Type
10. f ∈ Name ─→ Type
11. es : EO+(Message(f))
⊢ single-valued-classrel(es;new_23_sig_RoundInfo(Cmd;notify;propose;f);ℤ × ℤ × Cmd)

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Latex:

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Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[propose,notify:Atom  List].
\mforall{}[f:new\_23\_sig\_headers\_type\{i:l\}(Cmd;notify;propose)].  \mforall{}[es:EO+(Message(f))].
    single-valued-classrel(es;new\_23\_sig\_RoundInfo(Cmd;notify;propose;f);\mBbbZ{}  \mtimes{}  \mBbbZ{}  \mtimes{}  Cmd)


By

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Latex:
StartEmlProof

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