Nuprl Lemma : es-locl-wellfnd
∀es:EO. WellFnd{i}(E;x,y.(x <loc y))
Proof
Definitions occuring in Statement :
es-locl: (e <loc e'),
es-E: E,
event_ordering: EO,
wellfounded: WellFnd{i}(A;x,y.R[x; y]),
all: ∀x:A. B[x]
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x y.t[x; y],
prop: ℙ,
so_apply: x[s1;s2],
implies: P ⇒ Q,
strongwellfounded: SWellFounded(R[x; y]),
exists: ∃x:A. B[x],
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
nat: ℕ,
so_apply: x[s],
es-locl: (e <loc e'),
and: P ∧ Q
Latex:
\mforall{}es:EO. WellFnd\{i\}(E;x,y.(x <loc y))
Date html generated:
2016_05_16-AM-09_18_03
Last ObjectModification:
2015_12_28-PM-09_56_13
Theory : new!event-ordering
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