Step
*
of Lemma
decide_wf
∀[T1,T2,T3:Type]. ∀[x:T1 + T2]. ∀[l:T1 ⟶ T3]. ∀[r:T2 ⟶ T3]. (case x of inl(a) => l[a] | inr(b) => r[b] ∈ T3)
BY
{ TACTIC:Auto }
Latex:
Latex:
\mforall{}[T1,T2,T3:Type]. \mforall{}[x:T1 + T2]. \mforall{}[l:T1 {}\mrightarrow{} T3]. \mforall{}[r:T2 {}\mrightarrow{} T3].
(case x of inl(a) => l[a] | inr(b) => r[b] \mmember{} T3)
By
Latex:
TACTIC:Auto
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