Nuprl Lemma : es-pred_wf
∀[the_es:EO]. ∀[e:E]. pred(e) ∈ E supposing ¬↑first(e)
Proof
Definitions occuring in Statement :
es-first: first(e),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
es-E: E,
es-dom: es-dom(es),
es-base-E: es-base-E(es),
prop: ℙ,
all: ∀x:A. B[x],
decidable: Dec(P),
or: P ∨ Q,
not: ¬A,
implies: P ⇒ Q,
false: False,
es-first: first(e),
guard: {T},
iff: P ⇐⇒ Q,
and: P ∧ Q,
uiff: uiff(P;Q),
rev_implies: P ⇐ Q
Latex:
\mforall{}[the$_{es}$:EO]. \mforall{}[e:E]. pred(e) \mmember{} E supposing \mneg{}\muparrow{}first(e)
Date html generated:
2016_05_16-AM-09_16_10
Last ObjectModification:
2015_12_28-PM-09_56_58
Theory : new!event-ordering
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