Nuprl Lemma : eclass-compose4_wf
∀[Info,A,B,C,D,E:Type]. ∀[f:bag(A) ⟶ bag(B) ⟶ bag(C) ⟶ bag(D) ⟶ bag(E)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
∀[Z:EClass(C)]. ∀[V:EClass(D)].
(eclass-compose4(f;X;Y;Z;V) ∈ EClass(E))
Proof
Definitions occuring in Statement :
eclass-compose4: eclass-compose4(f;X;Y;Z;V),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
eclass-compose4: eclass-compose4(f;X;Y;Z;V),
subtype_rel: A ⊆r B
Latex:
\mforall{}[Info,A,B,C,D,E:Type]. \mforall{}[f:bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C) {}\mrightarrow{} bag(D) {}\mrightarrow{} bag(E)]. \mforall{}[X:EClass(A)].
\mforall{}[Y:EClass(B)]. \mforall{}[Z:EClass(C)]. \mforall{}[V:EClass(D)].
(eclass-compose4(f;X;Y;Z;V) \mmember{} EClass(E))
Date html generated:
2016_05_16-PM-02_23_08
Last ObjectModification:
2015_12_29-AM-11_41_04
Theory : event-ordering
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