Nuprl Lemma : predicate_rev_implies_wf

[T:Type]. ∀[P1,P2:T ⟶ ℙ].  (P1  P2 ∈ ℙ)


Proof




Definitions occuring in Statement :  predicate_rev_implies: P1  P2 uall: [x:A]. B[x] prop: member: t ∈ T function: x:A ⟶ B[x] universe: Type
Definitions unfolded in proof :  predicate_rev_implies: P1  P2 uall: [x:A]. B[x] member: t ∈ T prop:
Lemmas referenced :  predicate_implies_wf
Rules used in proof :  sqequalSubstitution sqequalRule sqequalReflexivity sqequalTransitivity computationStep isect_memberFormation introduction cut lemma_by_obid sqequalHypSubstitution isectElimination thin hypothesisEquality hypothesis axiomEquality equalityTransitivity equalitySymmetry functionEquality cumulativity universeEquality isect_memberEquality because_Cache

Latex:
\mforall{}[T:Type].  \mforall{}[P1,P2:T  {}\mrightarrow{}  \mBbbP{}].    (P1  \mLeftarrow{}{}  P2  \mmember{}  \mBbbP{})



Date html generated: 2016_05_14-AM-06_05_39
Last ObjectModification: 2015_12_26-AM-11_32_49

Theory : relations


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