Nuprl Lemma : bind-class_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:A ⟶ EClass(B)]. (X >x> Y[x] ∈ EClass(B))
Proof
Definitions occuring in Statement :
bind-class: X >x> Y[x],
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bind-class: X >x> Y[x],
eclass: EClass(A[eo; e]),
subtype_rel: A ⊆r B,
prop: ℙ,
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q,
so_lambda: λ2x.t[x],
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:A {}\mrightarrow{} EClass(B)]. (X >x> Y[x] \mmember{} EClass(B))
Date html generated:
2016_05_16-PM-02_24_29
Last ObjectModification:
2015_12_29-AM-11_43_10
Theory : event-ordering
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