Step
*
of Lemma
assert-es-locless
∀es:EO. ∀x,y:es-base-E(es). ↑es-locless(es;x;y)
⇐⇒ (x < y) supposing loc(x) = loc(y) ∈ Id
BY
{ ((D 0 THENA Auto) THEN (InstLemma `es-loc-wf-base` [⌈es⌉]⋅ THENA Auto)) }
1
1. es : EO@i'
2. ∀[e:es-base-E(es)]. (loc(e) ∈ Id)
⊢ ∀x,y:es-base-E(es). ↑es-locless(es;x;y)
⇐⇒ (x < y) supposing loc(x) = loc(y) ∈ Id
Latex:
\mforall{}es:EO. \mforall{}x,y:es-base-E(es). \muparrow{}es-locless(es;x;y) \mLeftarrow{}{}\mRightarrow{} (x < y) supposing loc(x) = loc(y)
By
((D 0 THENA Auto) THEN (InstLemma `es-loc-wf-base` [\mkleeneopen{}es\mkleeneclose{}]\mcdot{} THENA Auto))
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