Nuprl Lemma : residue_wf
∀n:ℕ. (residue(n) ∈ Type)
Proof
Definitions occuring in Statement :
residue: residue(n),
nat: ℕ,
all: ∀x:A. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
residue: residue(n),
uall: ∀[x:A]. B[x],
nat: ℕ,
int_seg: {i..j-},
prop: ℙ
Lemmas referenced :
int_seg_wf,
coprime_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
sqequalRule,
setEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
natural_numberEquality,
setElimination,
rename,
hypothesisEquality,
hypothesis
Latex:
\mforall{}n:\mBbbN{}. (residue(n) \mmember{} Type)
Date html generated:
2016_05_15-PM-07_28_33
Last ObjectModification:
2015_12_27-AM-11_20_38
Theory : general
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