Nuprl Lemma : sdata-pair-one-one
∀[x1,x2,y1,y2:SecurityData].
uiff(<x1, x2> = <y1, y2> ∈ SecurityData;{(x1 = y1 ∈ SecurityData) ∧ (x2 = y2 ∈ SecurityData)})
Proof
Definitions occuring in Statement :
sdata-pair: <d1, d2>,
sdata: SecurityData,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
guard: {T},
and: P ∧ Q,
equal: s = t ∈ T
Lemmas :
equal_wf,
sdata_wf,
sdata-pair_wf,
subtype_base_sq,
tree_subtype_base,
Id_wf,
union_subtype_base,
atom2_subtype_base,
atom1_subtype_base,
sdata-pair?_wf,
bool_wf,
eqtt_to_assert,
sdata-left_wf,
sdata_pair_rec_lemma,
sdata_left_pair_lemma,
sdata-right_wf,
sdata_right_pair_lemma
Latex:
\mforall{}[x1,x2,y1,y2:SecurityData]. uiff(<x1, x2> = <y1, y2>\{(x1 = y1) \mwedge{} (x2 = y2)\})
Date html generated:
2015_07_23-PM-00_00_47
Last ObjectModification:
2015_01_29-AM-07_43_01
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