Step
*
1
of Lemma
es-local-prior-state_wf
1. Info : Type
2. es : EO+(Info)
3. A : Type
4. T : Type
5. X : EClass(A)
6. base : T
7. f : T ─→ A ─→ T
8. e : E@i
9. ∀e1:E. ((e1 < e)
⇒ (prior-state(f;base;X;e1) ∈ T))
10. ↑e ∈b prior(X)
⊢ f prior-state(f;base;X;prior(X)(e)) X(prior(X)(e)) ∈ T
BY
{ ((Assert prior(X)(e) ∈ E(X) BY Auto) THEN Auto) }
Latex:
Latex:
1. Info : Type
2. es : EO+(Info)
3. A : Type
4. T : Type
5. X : EClass(A)
6. base : T
7. f : T {}\mrightarrow{} A {}\mrightarrow{} T
8. e : E@i
9. \mforall{}e1:E. ((e1 < e) {}\mRightarrow{} (prior-state(f;base;X;e1) \mmember{} T))
10. \muparrow{}e \mmember{}\msubb{} prior(X)
\mvdash{} f prior-state(f;base;X;prior(X)(e)) X(prior(X)(e)) \mmember{} T
By
Latex:
((Assert prior(X)(e) \mmember{} E(X) BY Auto) THEN Auto)
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