Nuprl Lemma : es-interface-conditional-predicate-equivalent
∀[Info:Type]. ∀es:EO+(Info). ∀[A:Type]. ∀X,Y:EClass(A). {[X?Y]} ⇐⇒ {X} ∨ {Y}
Proof
Definitions occuring in Statement :
es-interface-predicate: {I},
cond-class: [X?Y],
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
predicate_equivalent: P1 ⇐⇒ P2,
predicate_or: P1 ∨ P2,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
universe: Type
Definitions unfolded in proof :
es-interface-predicate: {I},
predicate_or: P1 ∨ P2,
predicate_equivalent: P1 ⇐⇒ P2
Latex:
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}[A:Type]. \mforall{}X,Y:EClass(A). \{[X?Y]\} \mLeftarrow{}{}\mRightarrow{} \{X\} \mvee{} \{Y\}
Date html generated:
2016_05_16-PM-02_41_52
Last ObjectModification:
2015_12_29-AM-11_30_24
Theory : event-ordering
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