Nuprl Lemma : es-p-le_weakening_eq
∀es:EO. ∀p:E ⟶ (E + Top). ∀e,e':E. e p≤ e' supposing e = e' ∈ E
Proof
Definitions occuring in Statement :
es-p-le: e p≤ e',
es-E: E,
event_ordering: EO,
uimplies: b supposing a,
top: Top,
all: ∀x:A. B[x],
function: x:A ⟶ B[x],
union: left + right,
equal: s = t ∈ T
Definitions unfolded in proof :
es-p-le: e p≤ e',
all: ∀x:A. B[x],
uimplies: b supposing a,
member: t ∈ T,
guard: {T},
or: P ∨ Q,
prop: ℙ,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}es:EO. \mforall{}p:E {}\mrightarrow{} (E + Top). \mforall{}e,e':E. e p\mleq{} e' supposing e = e'
Date html generated:
2016_05_16-AM-10_30_47
Last ObjectModification:
2015_12_28-PM-09_15_00
Theory : new!event-ordering
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