Nuprl Lemma : es-implies_wf
∀[es:EO]. ∀[P,Q:E ⟶ ℙ]. (P ⇒ Q ∈ E ⟶ ℙ)
Proof
Definitions occuring in Statement :
es-implies: P ⇒ Q,
es-E: E,
event_ordering: EO,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-implies: P ⇒ Q,
implies: P ⇒ Q,
prop: ℙ
Latex:
\mforall{}[es:EO]. \mforall{}[P,Q:E {}\mrightarrow{} \mBbbP{}]. (P {}\mRightarrow{} Q \mmember{} E {}\mrightarrow{} \mBbbP{})
Date html generated:
2016_05_16-AM-09_47_42
Last ObjectModification:
2015_12_28-PM-09_37_37
Theory : new!event-ordering
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