Nuprl Lemma : typed-base-class_wf
∀[f:Name ⟶ Type]. ∀[hdr:Name]. ∀[T:Type]. Base(hdr;T) ∈ EClass(T) supposing hdr encodes T
Proof
Definitions occuring in Statement :
typed-base-class: Base(hdr;T),
encodes-msg-type: hdr encodes T,
Message: Message(f),
eclass: EClass(A[eo; e]),
name: Name,
uimplies: b supposing a,
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,
uimplies: b supposing a,
typed-base-class: Base(hdr;T),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x]
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[hdr:Name]. \mforall{}[T:Type]. Base(hdr;T) \mmember{} EClass(T) supposing hdr encodes T
Date html generated:
2016_05_17-AM-08_53_58
Last ObjectModification:
2015_12_29-PM-02_54_45
Theory : messages
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