Nuprl Lemma : implies-normal-ds
∀ds:x:Id fp-> Type. (∀x∈dom(ds). A=ds(x) ⇒ A ⇒ Normal(ds))
Proof
Definitions occuring in Statement :
normal-ds: Normal(ds),
fpf-all: ∀x∈dom(f). v=f(x) ⇒ P[x; v],
fpf: a:A fp-> B[a],
id-deq: IdDeq,
Id: Id,
all: ∀x:A. B[x],
implies: P ⇒ Q,
universe: Type
Lemmas :
assert_wf,
fpf-dom_wf,
Id_wf,
id-deq_wf,
subtype-fpf2,
top_wf,
subtype_top,
all_wf,
fpf-ap_wf,
fpf_wf
\mforall{}ds:x:Id fp-> Type. (\mforall{}x\mmember{}dom(ds). A=ds(x) {}\mRightarrow{} A {}\mRightarrow{} Normal(ds))
Date html generated:
2015_07_17-AM-11_18_25
Last ObjectModification:
2015_01_28-AM-07_35_49
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