Step * 1 of Lemma Q-Q-glued-to-self


1. [Info] Type
2. es EO+(Info)@i'
3. [A] Type
4. Ia EClass(A)@i'
5. [Q] E ─→ E ─→ ℙ
⊢ Ia:Q →─λe.Ia(e)─→  Ia:Q
BY
(InstLemma `Q-Q-glued-self-image` [Info; ⌈es⌉;⌈A⌉;⌈A⌉;⌈Ia⌉;⌈λe.e⌉;⌈Q⌉]⋅ THEN Auto) }

1
1. [Info] Type
2. es EO+(Info)@i'
3. [A] Type
4. Ia EClass(A)@i'
5. [Q] E ─→ E ─→ ℙ
6. Ia:Q →─λe.((λe.e) Ia(e))─→  λe.e'Ia:Q
⊢ Ia:Q →─λe.Ia(e)─→  Ia:Q


Latex:



Latex:

1.  [Info]  :  Type
2.  es  :  EO+(Info)@i'
3.  [A]  :  Type
4.  Ia  :  EClass(A)@i'
5.  [Q]  :  E  {}\mrightarrow{}  E  {}\mrightarrow{}  \mBbbP{}
\mvdash{}  Ia:Q  \mrightarrow{}{}\mlambda{}e.Ia(e){}\mrightarrow{}    Ia:Q


By


Latex:
(InstLemma  `Q-Q-glued-self-image`  [Info;  \mkleeneopen{}es\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}Ia\mkleeneclose{};\mkleeneopen{}\mlambda{}e.e\mkleeneclose{};\mkleeneopen{}Q\mkleeneclose{}]\mcdot{}  THEN  Auto)




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