Nuprl Lemma : eclass1_local
∀[Info,B,C:Type]. ∀[X:EClass(B)]. ∀f:Id ─→ B ─→ C. (LocalClass(X) ⇒ LocalClass((f o X))) supposing valueall-type(C)
Proof
Definitions occuring in Statement :
eclass1: (f o X),
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
Id: Id,
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
universe: Type
Lemmas :
equal-wf-base,
base_wf,
eclass1-program_wf,
local-class_wf,
Id_wf,
valueall-type_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B)].
\mforall{}f:Id {}\mrightarrow{} B {}\mrightarrow{} C. (LocalClass(X) {}\mRightarrow{} LocalClass((f o X))) supposing valueall-type(C)
Date html generated:
2015_07_22-PM-00_01_45
Last ObjectModification:
2015_01_28-AM-09_53_43
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