Nuprl Lemma : squash_false
uiff(↓False;False)
Proof
Definitions occuring in Statement : 
uiff: uiff(P;Q)
, 
squash: ↓T
, 
false: False
Definitions unfolded in proof : 
uiff: uiff(P;Q)
, 
and: P ∧ Q
, 
uimplies: b supposing a
, 
member: t ∈ T
, 
false: False
, 
squash: ↓T
, 
prop: ℙ
, 
uall: ∀[x:A]. B[x]
Lemmas referenced : 
false_wf, 
squash_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
independent_pairFormation, 
isect_memberFormation, 
introduction, 
cut, 
sqequalHypSubstitution, 
imageElimination, 
voidElimination, 
hypothesis, 
sqequalRule, 
lemma_by_obid, 
isectElimination, 
thin, 
imageMemberEquality, 
hypothesisEquality, 
baseClosed
Latex:
uiff(\mdownarrow{}False;False)
Date html generated:
2016_05_13-PM-03_13_37
Last ObjectModification:
2016_01_06-PM-05_49_21
Theory : core_2
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