Step
*
1
of Lemma
l_index_hd
1. T : Type
2. dT : EqDecider(T)
3. u : T
4. v : T List
5. ¬False
⊢ mu-ge(λi.(dT u [u / v][i]);0) ~ 0
BY
{ (RecUnfold `mu-ge` 0 THEN Reduce 0 THEN (SplitOnConclITE THENA Auto) THEN Try (Trivial) THEN D -1 THEN Auto) }
Latex:
Latex:
1. T : Type
2. dT : EqDecider(T)
3. u : T
4. v : T List
5. \mneg{}False
\mvdash{} mu-ge(\mlambda{}i.(dT u [u / v][i]);0) \msim{} 0
By
Latex:
(RecUnfold `mu-ge` 0
THEN Reduce 0
THEN (SplitOnConclITE THENA Auto)
THEN Try (Trivial)
THEN D -1
THEN Auto)
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