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Step * of Lemma rel-connected_transitivity

∀[T:Type]. ∀[R:T ⟶ T ⟶ ℙ]. ∀[x,y,z:T].  (x──R⟶y ⇒ y──R⟶z ⇒ x──R⟶z)
BY
{ (Unfold `rel-connected` 0 THEN Auto THEN InstLemma `rel_star_transitivity` [⌜T⌝;⌜R⌝;⌜x⌝;⌜y⌝;⌜z⌝]⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[R:T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].  \mforall{}[x,y,z:T].    (x{}{}R{}\mrightarrow{}y  {}\mRightarrow{}  y{}{}R{}\mrightarrow{}z  {}\mRightarrow{}  x{}{}R{}\mrightarrow{}z)


By

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Latex:
(Unfold  `rel-connected`  0
  THEN  Auto
  THEN  InstLemma  `rel\_star\_transitivity`  [\mkleeneopen{}T\mkleeneclose{};\mkleeneopen{}R\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}y\mkleeneclose{};\mkleeneopen{}z\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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