Nuprl Lemma : multiply_nat_wf
∀[i,j:ℕ]. (i * j ∈ ℕ)
Proof
Definitions occuring in Statement :
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
multiply: n * m
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
nat: ℕ,
prop: ℙ
Lemmas referenced :
mul_bounds_1a,
le_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
dependent_set_memberEquality,
multiplyEquality,
setElimination,
rename,
hypothesis,
natural_numberEquality,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[i,j:\mBbbN{}]. (i * j \mmember{} \mBbbN{})
Date html generated:
2016_05_13-PM-03_41_16
Last ObjectModification:
2015_12_26-AM-09_39_58
Theory : arithmetic
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