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Step * 1 1 of Lemma int_upper_well_founded


1. n : ℤ@i
2. WellFnd{i}(ℕ;x,y.x < y)
⊢ WellFnd{i}({n...};x,y.x < y)
BY
{ (Using [`B',⌜{n...}⌝;`f',⌜λz.(z - n)⌝]   (FwdThruLemma `inv_image_ind` [2]) THENA Auto') }

1
1. n : ℤ@i
2. WellFnd{i}(ℕ;x,y.x < y)
3. WellFnd{i}({n...};x,y.(λz.(z - n)) x < (λz.(z - n)) y)
⊢ WellFnd{i}({n...};x,y.x < y)

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Latex:

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Latex:

1.  n  :  \mBbbZ{}@i
2.  WellFnd\{i\}(\mBbbN{};x,y.x  <  y)
\mvdash{}  WellFnd\{i\}(\{n...\};x,y.x  <  y)


By

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Latex:
(Using  [`B',\mkleeneopen{}\{n...\}\mkleeneclose{};`f',\mkleeneopen{}\mlambda{}z.(z  -  n)\mkleeneclose{}]      (FwdThruLemma  `inv\_image\_ind`  [2])  THENA  Auto')

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