Step
*
of Lemma
es-pred-less-base
∀es:EO. ∀e:es-base-E(es). ((¬(pred(e) = e ∈ es-base-E(es)))
⇒ (pred(e) < e))
BY
{ ((D 0 THENA Auto) THEN (InstLemma `es-pred-wf-base` [⌈es⌉]⋅ THENA Auto)) }
1
1. es : EO@i'
2. ∀[e:es-base-E(es)]. (pred(e) ∈ es-base-E(es))
⊢ ∀e:es-base-E(es). ((¬(pred(e) = e ∈ es-base-E(es)))
⇒ (pred(e) < e))
Latex:
\mforall{}es:EO. \mforall{}e:es-base-E(es). ((\mneg{}(pred(e) = e)) {}\mRightarrow{} (pred(e) < e))
By
((D 0 THENA Auto) THEN (InstLemma `es-pred-wf-base` [\mkleeneopen{}es\mkleeneclose{}]\mcdot{} THENA Auto))
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