Nuprl Lemma : es-E-equality-univ-independent
∀[es:EO]. ∀[e,e':E].
(TERMOF{decidable__es-E-equal:o, 1:l, i:l} es e' e ~ TERMOF{decidable__es-E-equal:o, 1:l, 1:l} es e' e)
Proof
Definitions occuring in Statement :
es-E: E,
event_ordering: EO,
uall: ∀[x:A]. B[x],
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
decidable__es-E-equal,
decidable__equal-es-E,
decidable_functionality,
iff_preserves_decidability,
decidable__assert,
es-eq: es-eq(es),
band: p ∧b q,
ifthenelse: if b then t else f fi ,
eq_id: a = b,
id-deq: IdDeq,
atom2-deq: Atom2Deq,
eq_atom: eq_atom$n(x;y),
es-loc: loc(e),
record-select: r.x,
iff_weakening_uiff,
deq_property
Latex:
\mforall{}[es:EO]. \mforall{}[e,e':E].
(TERMOF\{decidable\_\_es-E-equal:o, 1:l, i:l\} es e' e \msim{} TERMOF\{decidable\_\_es-E-equal:o, 1:l, 1:l\} es
e'
e)
Date html generated:
2016_05_16-AM-09_19_02
Last ObjectModification:
2015_12_28-PM-09_55_22
Theory : new!event-ordering
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