Nuprl Lemma : es-causl-if-pred
∀es:EO. ∀e1,e2:E. ((¬↑first(e2)) ⇒ (e1 < pred(e2)) ⇒ (e1 < e2))
Proof
Definitions occuring in Statement :
es-first: first(e),
es-pred: pred(e),
es-causl: (e < e'),
es-E: E,
event_ordering: EO,
assert: ↑b,
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q
Definitions unfolded in proof :
all: ∀x:A. B[x],
implies: P ⇒ Q,
member: t ∈ T,
uimplies: b supposing a,
guard: {T},
uall: ∀[x:A]. B[x],
prop: ℙ
Latex:
\mforall{}es:EO. \mforall{}e1,e2:E. ((\mneg{}\muparrow{}first(e2)) {}\mRightarrow{} (e1 < pred(e2)) {}\mRightarrow{} (e1 < e2))
Date html generated:
2016_05_16-AM-09_22_22
Last ObjectModification:
2015_12_28-PM-09_52_39
Theory : new!event-ordering
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