Step
*
of Lemma
eclass-compose3_wf
∀[Info,A,B,C,D:Type]. ∀[f:bag(A) ─→ bag(B) ─→ bag(C) ─→ bag(D)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[Z:EClass(C)].
(eclass-compose3(f;X;Y;Z) ∈ EClass(D))
BY
{ (Unfold `eclass` 0 THEN ProveWfLemma) }
Latex:
\mforall{}[Info,A,B,C,D:Type]. \mforall{}[f:bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C) {}\mrightarrow{} bag(D)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
\mforall{}[Z:EClass(C)].
(eclass-compose3(f;X;Y;Z) \mmember{} EClass(D))
By
(Unfold `eclass` 0 THEN ProveWfLemma)
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