Nuprl Lemma : funinv_wf3
∀[n:ℕ]. ∀[f:ℕn →⟶ ℕn]. (inv(f) ∈ ℕn →⟶ ℕn)
Proof
Definitions occuring in Statement :
injection: A →⟶ B,
funinv: inv(f),
int_seg: {i..j-},
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
natural_number: $n
Definitions unfolded in proof :
injection: A →⟶ B
Lemmas referenced :
funinv_wf2
Rules used in proof :
cut,
lemma_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[f:\mBbbN{}n \mrightarrow{}{}\mrightarrow{} \mBbbN{}n]. (inv(f) \mmember{} \mBbbN{}n \mrightarrow{}{}\mrightarrow{} \mBbbN{}n)
Date html generated:
2016_05_15-PM-06_11_51
Last ObjectModification:
2015_12_27-PM-00_13_15
Theory : general
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