Nuprl Lemma : sub-system_weakening
∀[M:Type ─→ Type]. ∀S1,S2:System(P.M[P]). sub-system(P.M[P];S1;S2) supposing S1 = S2 ∈ System(P.M[P])
Proof
Definitions occuring in Statement :
sub-system: sub-system(P.M[P];S1;S2),
System: System(P.M[P]),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
all: ∀x:A. B[x],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
list_wf,
component_wf,
ldag_wf,
pInTransit_wf,
sublist_weakening,
sublist_wf,
lg-contains_wf,
equal_wf,
System_wf,
lg-contains_weakening
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}S1,S2:System(P.M[P]). sub-system(P.M[P];S1;S2) supposing S1 = S2
Date html generated:
2015_07_23-AM-11_19_42
Last ObjectModification:
2015_01_28-PM-11_17_16
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