Nuprl Lemma : fpf-compatible-mod_wf
∀[A:Type]. ∀[B:A ─→ Type]. ∀[eq:EqDecider(A)]. ∀[f,g:a:A fp-> B[a]]. ∀[R:∩a:A. (B[a] ─→ B[a] ─→ 𝔹)].
(fpf-compatible-mod(A;a.B[a];eq;
R;f;g) ∈ ℙ)
Proof
Definitions occuring in Statement :
fpf-compatible-mod: fpf-compatible-mod,
fpf: a:A fp-> B[a],
deq: EqDecider(T),
bool: 𝔹,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
member: t ∈ T,
isect: ∩x:A. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
all_wf,
assert_wf,
fpf-dom_wf,
subtype-fpf2,
top_wf,
subtype_top,
not_wf,
fpf-ap_wf,
bool_wf,
fpf_wf,
deq_wf
\mforall{}[A:Type]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[f,g:a:A fp-> B[a]]. \mforall{}[R:\mcap{}a:A. (B[a] {}\mrightarrow{} B[a] {}\mrightarrow{} \mBbbB{})].
(fpf-compatible-mod(A;a.B[a];eq;
R;f;g) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-09_18_39
Last ObjectModification:
2015_01_28-AM-07_49_39
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