Nuprl Lemma : fpf-compose_wf
∀[A:Type]. ∀[B,C:A ─→ Type]. ∀[f:a:A fp-> B[a]]. ∀[g:∩a:A. (B[a] ─→ C[a])]. (g o f ∈ a:A fp-> C[a])
Proof
Definitions occuring in Statement :
fpf-compose: g o f,
fpf: a:A fp-> B[a],
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
isect: ∩x:A. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
l_member_wf,
fpf_wf
\mforall{}[A:Type]. \mforall{}[B,C:A {}\mrightarrow{} Type]. \mforall{}[f:a:A fp-> B[a]]. \mforall{}[g:\mcap{}a:A. (B[a] {}\mrightarrow{} C[a])]. (g o f \mmember{} a:A fp-> C[a])
Date html generated:
2015_07_17-AM-11_11_23
Last ObjectModification:
2015_01_28-AM-07_45_55
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