Step
*
of Lemma
simplify-equal-imp
∀[T:Type]. ∀[x,y,z:T]. uiff(x = z ∈ T supposing x = y ∈ T;¬(x = y ∈ T)) supposing ¬(y = z ∈ T)
BY
{ xxx(Auto THEN (ParallelOp (-2)) THEN ThinTrivial THEN Auto)xxx }
Latex:
Latex:
\mforall{}[T:Type]. \mforall{}[x,y,z:T]. uiff(x = z supposing x = y;\mneg{}(x = y)) supposing \mneg{}(y = z)
By
Latex:
xxx(Auto THEN (ParallelOp (-2)) THEN ThinTrivial THEN Auto)xxx
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