---

Step * of Lemma sum-nat-le-simple

∀[n:ℕ]. ∀[f:ℕn ⟶ ℕ].  ∀x:ℕn. (f[x] ≤ Σ(f[x] | x < n))
BY
{ (InstLemma `sum-nat-le` [] THEN RepeatFor 2 (ParallelLast') THEN D -1 With ⌜Σ(f[x] | x < n)⌝  THEN Auto) }

---

Latex:

---

Latex:
\mforall{}[n:\mBbbN{}].  \mforall{}[f:\mBbbN{}n  {}\mrightarrow{}  \mBbbN{}].    \mforall{}x:\mBbbN{}n.  (f[x]  \mleq{}  \mSigma{}(f[x]  |  x  <  n))


By

---

Latex:
(InstLemma  `sum-nat-le`  []
  THEN  RepeatFor  2  (ParallelLast')
  THEN  D  -1  With  \mkleeneopen{}\mSigma{}(f[x]  |  x  <  n)\mkleeneclose{} 
  THEN  Auto)

---

Home Index