Nuprl Lemma : add-wf-bar-nat
∀[x,y:bar(ℕ)]. (x + y ∈ bar(ℕ))
Proof
Definitions occuring in Statement :
bar: bar(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
add: n + m
Definitions unfolded in proof :
bar: bar(T)
Lemmas referenced :
add-wf-partial-nat
Rules used in proof :
cut,
lemma_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
hypothesis
Latex:
\mforall{}[x,y:bar(\mBbbN{})]. (x + y \mmember{} bar(\mBbbN{}))
Date html generated:
2016_07_08-PM-05_18_58
Last ObjectModification:
2016_01_06-AM-00_35_54
Theory : bar!type
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