Step
*
of Lemma
per-quotient-isect-base
∀[T:Type]. ∀[E:T ⟶ T ⟶ ℙ].  x,y:T/per/E[x;y] ⋂ Base ≡ T ⋂ Base supposing EquivRel(T;x,y.E[x;y])
BY
{ (TACTIC:InstLemma `quotient-isect-base` [] THEN NthHypSq (-1) THEN EqCD THEN Auto THEN Computation) }
Latex:
Latex:
\mforall{}[T:Type].  \mforall{}[E:T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].    x,y:T/per/E[x;y]  \mcap{}  Base  \mequiv{}  T  \mcap{}  Base  supposing  EquivRel(T;x,y.E[x;y])
By
Latex:
(TACTIC:InstLemma  `quotient-isect-base`  []  THEN  NthHypSq  (-1)  THEN  EqCD  THEN  Auto  THEN  Computation)
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