Nuprl Lemma : eclass3_wf
∀[Info,B,C:Type]. ∀[X:EClass(B ⟶ C)]. ∀[Y:EClass(B)]. (eclass3(X;Y) ∈ EClass(C))
Proof
Definitions occuring in Statement :
eclass3: eclass3(X;Y),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
eclass3: eclass3(X;Y),
eclass: EClass(A[eo; e]),
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B {}\mrightarrow{} C)]. \mforall{}[Y:EClass(B)]. (eclass3(X;Y) \mmember{} EClass(C))
Date html generated:
2016_05_16-PM-02_12_34
Last ObjectModification:
2015_12_29-AM-11_51_32
Theory : event-ordering
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