Step * of Lemma rel_equivalent_transitivity

[T:Type]. ∀[R1,R2,R3:T ⟶ T ⟶ ℙ].  (R1 ⇐⇒ R2  R2 ⇐⇒ R3  R1 ⇐⇒ R3)
BY
(Unfolds ``rel_equivalent`` THEN Auto THEN BackThruSomeHyp THEN Auto) }


Latex:


Latex:
\mforall{}[T:Type].  \mforall{}[R1,R2,R3:T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].    (R1  \mLeftarrow{}{}\mRightarrow{}  R2  {}\mRightarrow{}  R2  \mLeftarrow{}{}\mRightarrow{}  R3  {}\mRightarrow{}  R1  \mLeftarrow{}{}\mRightarrow{}  R3)


By


Latex:
(Unfolds  ``rel\_equivalent``  0  THEN  Auto  THEN  BackThruSomeHyp  THEN  Auto)




Home Index