Step * of Lemma simple-comb-1-classrel-weak

[Info,B,C:Type]. ∀[f:B ⟶ C]. ∀[X:EClass(B)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:C].
  (v ∈ lifting-1(f)|X|(e) ⇐⇒ ↓∃b:B. ((v (f b) ∈ C) ∧ b ∈ X(e)))
BY
(InstLemma `simple-comb-1-classrel` [] THEN Repeat (ParallelLast')) }


Latex:


Latex:
\mforall{}[Info,B,C:Type].  \mforall{}[f:B  {}\mrightarrow{}  C].  \mforall{}[X:EClass(B)].  \mforall{}[es:EO+(Info)].  \mforall{}[e:E].  \mforall{}[v:C].
    (v  \mmember{}  lifting-1(f)|X|(e)  \mLeftarrow{}{}\mRightarrow{}  \mdownarrow{}\mexists{}b:B.  ((v  =  (f  b))  \mwedge{}  b  \mmember{}  X(e)))


By


Latex:
(InstLemma  `simple-comb-1-classrel`  []  THEN  Repeat  (ParallelLast'))




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