Nuprl Lemma : until-class_local
∀[Info,B,C:Type]. ∀[X:EClass(B)]. ∀[Y:EClass(C)]. (LocalClass(X) ⇒ LocalClass(Y) ⇒ LocalClass((X until Y)))
Proof
Definitions occuring in Statement :
until-class: (X until Y),
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
member: t ∈ T,
prop: ℙ,
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B)]. \mforall{}[Y:EClass(C)].
(LocalClass(X) {}\mRightarrow{} LocalClass(Y) {}\mRightarrow{} LocalClass((X until Y)))
Date html generated:
2016_05_17-AM-09_05_52
Last ObjectModification:
2015_12_29-PM-03_36_27
Theory : local!classes
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