Step * of Lemma remove-singularity-seq_wf

[X:Type]. ∀[k:ℕ]. ∀[p:ℝ^k]. ∀[f:{p:ℝ^k| r0 < ||p||}  ⟶ X]. ∀[z:X].  (remove-singularity-seq(k;p;f;z) ∈ ℕ ⟶ X)
BY
(ProveWfLemma THEN InstLemma `realvec-ibs-property` [⌜k⌝;⌜p⌝]⋅ THEN Auto) }


Latex:


Latex:
\mforall{}[X:Type].  \mforall{}[k:\mBbbN{}].  \mforall{}[p:\mBbbR{}\^{}k].  \mforall{}[f:\{p:\mBbbR{}\^{}k|  r0  <  ||p||\}    {}\mrightarrow{}  X].  \mforall{}[z:X].
    (remove-singularity-seq(k;p;f;z)  \mmember{}  \mBbbN{}  {}\mrightarrow{}  X)


By


Latex:
(ProveWfLemma  THEN  InstLemma  `realvec-ibs-property`  [\mkleeneopen{}k\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{}]\mcdot{}  THEN  Auto)




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