Step
*
of Lemma
accessible-inversion
∀[T:Type]. ∀[R:T ⟶ T ⟶ ℙ]. ∀[u:T]. ∀v:T. (accessible(T;x,y.R[x;y];u)
⇒ R[v;u]
⇒ accessible(T;x,y.R[x;y];v))
BY
{ ((InstLemma `accessible-iff` [] THEN RepeatFor 3 (ParallelLast')) THEN Auto) }
Latex:
Latex:
\mforall{}[T:Type]. \mforall{}[R:T {}\mrightarrow{} T {}\mrightarrow{} \mBbbP{}]. \mforall{}[u:T].
\mforall{}v:T. (accessible(T;x,y.R[x;y];u) {}\mRightarrow{} R[v;u] {}\mRightarrow{} accessible(T;x,y.R[x;y];v))
By
Latex:
((InstLemma `accessible-iff` [] THEN RepeatFor 3 (ParallelLast')) THEN Auto)
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