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Step * of Lemma per-isect2_quotient

∀[T:Type]. ∀[E1,E2:T ⟶ T ⟶ ℙ].
  (x,y:T/per/E1[x;y] ⋂ x,y:T/per/E2[x;y] ≡ x,y:T/per/(E1[x;y] ∧ E2[x;y])) supposing 
     (EquivRel(T;x,y.E1[x;y]) and 
     EquivRel(T;x,y.E2[x;y]))
BY
{ (TACTIC:InstLemma `isect2_quotient` [] THEN NthHypSq (-1) THEN EqCD THEN Auto THEN Computation) }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[E1,E2:T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].
    (x,y:T/per/E1[x;y]  \mcap{}  x,y:T/per/E2[x;y]  \mequiv{}  x,y:T/per/(E1[x;y]  \mwedge{}  E2[x;y]))  supposing 
          (EquivRel(T;x,y.E1[x;y])  and 
          EquivRel(T;x,y.E2[x;y]))


By

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Latex:
(TACTIC:InstLemma  `isect2\_quotient`  []  THEN  NthHypSq  (-1)  THEN  EqCD  THEN  Auto  THEN  Computation)

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