---

Step * of Lemma trans_imp_sp_trans_b

∀[T:Type]. ∀[R:T ⟶ T ⟶ ℙ].
  (Trans(T;a,b.R[a;b]) ⇒ {∀a,b,c:T.  (strict_part(x,y.R[x;y];a;b) ⇒ R[b;c] ⇒ strict_part(x,y.R[x;y];a;c))})
BY
{ (Unfolds ``trans strict_part guard`` 0 THEN Auto) }

---

Latex:

---

Latex:
\mforall{}[T:Type].  \mforall{}[R:T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].
    (Trans(T;a,b.R[a;b])
    {}\mRightarrow{}  \{\mforall{}a,b,c:T.    (strict\_part(x,y.R[x;y];a;b)  {}\mRightarrow{}  R[b;c]  {}\mRightarrow{}  strict\_part(x,y.R[x;y];a;c))\})


By

---

Latex:
(Unfolds  ``trans  strict\_part  guard``  0  THEN  Auto)

---

Home Index