Nuprl Lemma : normal-ds-join
∀ds1,ds2:x:Id fp-> Type. (Normal(ds1) ⇒ Normal(ds2) ⇒ Normal(ds1 ⊕ ds2))
Proof
Definitions occuring in Statement :
normal-ds: Normal(ds),
fpf-join: f ⊕ g,
fpf: a:A fp-> B[a],
id-deq: IdDeq,
Id: Id,
all: ∀x:A. B[x],
implies: P ⇒ Q,
universe: Type
Lemmas :
fpf-dom_wf,
bool_wf,
equal-wf-T-base,
assert_wf,
bnot_wf,
not_wf,
fpf-join-ap-sq,
fpf-join-dom,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
id-deq_wf,
fpf-join_wf,
top_wf,
subtype-fpf2,
subtype_top,
normal-ds_wf,
fpf_wf,
Id_wf
\mforall{}ds1,ds2:x:Id fp-> Type. (Normal(ds1) {}\mRightarrow{} Normal(ds2) {}\mRightarrow{} Normal(ds1 \moplus{} ds2))
Date html generated:
2015_07_17-AM-11_18_31
Last ObjectModification:
2015_01_28-AM-07_35_25
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