Nuprl Lemma : es-causal-antireflexive
∀[the_es:EO]. ∀[e:es-base-E(the_es)]. (¬(e < e))
Proof
Definitions occuring in Statement :
es-causl: (e < e'),
es-base-E: es-base-E(es),
event_ordering: EO,
uall: ∀[x:A]. B[x],
not: ¬A
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
not: ¬A,
implies: P ⇒ Q,
false: False,
prop: ℙ,
nat: ℕ,
guard: {T},
ge: i ≥ j ,
uimplies: b supposing a,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
all: ∀x:A. B[x],
top: Top
Latex:
\mforall{}[the$_{es}$:EO]. \mforall{}[e:es-base-E(the$_{es}$)]. (\mneg{}(e < e))
Date html generated:
2016_05_16-AM-09_15_09
Last ObjectModification:
2016_01_17-PM-01_31_21
Theory : new!event-ordering
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