Nuprl Lemma : decidable__equal_unit
∀x,y:Unit. Dec(x = y ∈ Unit)
Proof
Definitions occuring in Statement :
decidable: Dec(P),
all: ∀x:A. B[x],
unit: Unit,
equal: s = t ∈ T
Definitions unfolded in proof :
all: ∀x:A. B[x],
decidable: Dec(P),
or: P ∨ Q,
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ
Lemmas referenced :
unit_wf,
equal_wf,
not_wf,
equal-unit
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
inlFormation,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis
Latex:
\mforall{}x,y:Unit. Dec(x = y)
Date html generated:
2016_05_13-PM-03_18_01
Last ObjectModification:
2016_01_06-PM-05_20_22
Theory : core_2
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