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Step * of Lemma transmem_transitivity

Trans(coSet{i:l};x,y.(x ∈∈ y))
BY
{ (Unfold `transmem` 0
   THEN InstLemma `transitive-closure-transitive` [⌜parm{i'}⌝;⌜coSet{i:l}⌝;⌜λx,y. (x ∈ y)⌝]⋅
   THEN Auto) }

1
1. UniformlyTrans(coSet{i:l};x,y.x TC(λx,y. (x ∈ y)) y)
⊢ Trans(coSet{i:l};x,y.x TC(λx,y. (x ∈ y)) y)

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Latex:

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Latex:
Trans(coSet\{i:l\};x,y.(x  \mmember{}\mmember{}  y))


By

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Latex:
(Unfold  `transmem`  0
  THEN  InstLemma  `transitive-closure-transitive`  [\mkleeneopen{}parm\{i'\}\mkleeneclose{};\mkleeneopen{}coSet\{i:l\}\mkleeneclose{};\mkleeneopen{}\mlambda{}x,y.  (x  \mmember{}  y)\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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