Nuprl Lemma : eclass3_local
∀[Info,B,C:Type]. ∀[X:EClass(B ─→ C)]. ∀[Y:EClass(B)].
LocalClass(X) ⇒ LocalClass(Y) ⇒ LocalClass(eclass3(X;Y)) supposing valueall-type(C)
Proof
Definitions occuring in Statement :
eclass3: eclass3(X;Y),
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
universe: Type
Lemmas :
equal-wf-base,
base_wf,
eclass3-program_wf,
local-class_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 {}\mrightarrow{} C)]. \mforall{}[Y:EClass(B)].
LocalClass(X) {}\mRightarrow{} LocalClass(Y) {}\mRightarrow{} LocalClass(eclass3(X;Y)) supposing valueall-type(C)
Date html generated:
2015_07_22-PM-00_01_52
Last ObjectModification:
2015_01_28-AM-09_53_42
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