Step
*
2
1
1
1
1
of Lemma
es-pred_property_base
1. es : EO@i'
2. e : es-base-E(es)@i
3. e' : E@i
4. pred(e) ∈ es-base-E(es)
5. (e' < e) ∈ ℙ
6. (e' < pred(e)) ∈ ℙ
7. loc(e) ∈ Id
8. loc(e') = loc(e) ∈ Id
9. (e' < e)@i
10. ¬(e' = pred(e) ∈ es-base-E(es))
11. ¬(e' < pred(e))
12. (e' = pred(e) ∈ es-base-E(es)) ∨ (e' < pred(e)) ∨ (pred(e) < e')
⊢ (pred(e) < e')
BY
{ (SplitOrHyps THEN Auto) }
Latex:
1. es : EO@i'
2. e : es-base-E(es)@i
3. e' : E@i
4. pred(e) \mmember{} es-base-E(es)
5. (e' < e) \mmember{} \mBbbP{}
6. (e' < pred(e)) \mmember{} \mBbbP{}
7. loc(e) \mmember{} Id
8. loc(e') = loc(e)
9. (e' < e)@i
10. \mneg{}(e' = pred(e))
11. \mneg{}(e' < pred(e))
12. (e' = pred(e)) \mvee{} (e' < pred(e)) \mvee{} (pred(e) < e')
\mvdash{} (pred(e) < e')
By
(SplitOrHyps THEN Auto)
Home
Index