Nuprl Lemma : es-causle_antisymmetry
∀[es:EO]. ∀[a,b:E]. (a = b ∈ E) supposing (b c≤ a and a c≤ b)
Proof
Definitions occuring in Statement :
es-causle: e c≤ e',
es-E: E,
event_ordering: EO,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
es-causle: e c≤ e',
or: P ∨ Q,
all: ∀x:A. B[x],
guard: {T},
implies: P ⇒ Q,
false: False,
prop: ℙ
Latex:
\mforall{}[es:EO]. \mforall{}[a,b:E]. (a = b) supposing (b c\mleq{} a and a c\mleq{} b)
Date html generated:
2016_05_16-AM-09_21_40
Last ObjectModification:
2015_12_28-PM-09_53_20
Theory : new!event-ordering
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