Nuprl Lemma : subtract-wf-bar
∀[x,y:partial(Base)]. (x - y ∈ bar(ℤ))
Proof
Definitions occuring in Statement :
bar: bar(T),
partial: partial(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtract: n - m,
int: ℤ,
base: Base
Definitions unfolded in proof :
bar: bar(T)
Lemmas referenced :
subtract-wf-partial
Rules used in proof :
cut,
lemma_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
hypothesis
Latex:
\mforall{}[x,y:partial(Base)]. (x - y \mmember{} bar(\mBbbZ{}))
Date html generated:
2016_07_08-PM-05_18_46
Last ObjectModification:
2016_01_06-AM-00_36_55
Theory : bar!type
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