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Step * 1 1 of Lemma int_seg_well_founded_up


1. i : ℤ
2. j : {i...}
3. WellFnd{i}({i...};x,y.x < y)
⊢ WellFnd{i}({i..j-};x,y.x < y)
BY
{ (Using [`B',⌜{i..j-}⌝;`f',⌜λx.x⌝] (FwdThruLemma `inv_image_ind` [3]) THENA Auto)⋅ }

1
1. i : ℤ
2. j : {i...}
3. WellFnd{i}({i...};x,y.x < y)
4. WellFnd{i}({i..j-};x,y.(λx.x) x < (λx.x) y)
⊢ WellFnd{i}({i..j-};x,y.x < y)

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Latex:

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Latex:

1.  i  :  \mBbbZ{}
2.  j  :  \{i...\}
3.  WellFnd\{i\}(\{i...\};x,y.x  <  y)
\mvdash{}  WellFnd\{i\}(\{i..j\msupminus{}\};x,y.x  <  y)


By

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Latex:
(Using  [`B',\mkleeneopen{}\{i..j\msupminus{}\}\mkleeneclose{};`f',\mkleeneopen{}\mlambda{}x.x\mkleeneclose{}]  (FwdThruLemma  `inv\_image\_ind`  [3])  THENA  Auto)\mcdot{}

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