Nuprl Lemma : class-program-monotonic
∀[T,T':Type]. ClassProgram(T) ⊆r ClassProgram(T') supposing T ⊆r T'
Proof
Definitions occuring in Statement :
class-program: ClassProgram(T),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
class-program: ClassProgram(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
so_lambda: λ2x.t[x],
prop: ℙ,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
so_apply: x[s],
top: Top
Latex:
\mforall{}[T,T':Type]. ClassProgram(T) \msubseteq{}r ClassProgram(T') supposing T \msubseteq{}r T'
Date html generated:
2016_05_16-PM-00_55_09
Last ObjectModification:
2015_12_29-PM-01_42_00
Theory : event-ordering
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