Nuprl Lemma : eclass_subtype_rel
∀[T,A,B:Type]. EClass(A) ⊆r EClass(B) supposing A ⊆r B
Proof
Definitions occuring in Statement :
eclass: EClass(A[eo; e]),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
so_apply: x[s],
all: ∀x:A. B[x]
Latex:
\mforall{}[T,A,B:Type]. EClass(A) \msubseteq{}r EClass(B) supposing A \msubseteq{}r B
Date html generated:
2016_05_16-PM-01_27_03
Last ObjectModification:
2015_12_29-PM-02_04_01
Theory : event-ordering
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