Step
*
1
of Lemma
rel_exp_monotone
.....basecase.....
∀[T:Type]. ∀[R1,R2:T ⟶ T ⟶ ℙ]. (R1 => R2
⇒ R1^0 => R2^0)
BY
{ (((Unfold `rel_implies` 0 THEN RecUnfold `rel_exp` 0) THEN Reduce 0) THEN Auto) }
Latex:
Latex:
.....basecase.....
\mforall{}[T:Type]. \mforall{}[R1,R2:T {}\mrightarrow{} T {}\mrightarrow{} \mBbbP{}]. (R1 => R2 {}\mRightarrow{} rel\_exp(T; R1; 0) => rel\_exp(T; R2; 0))
By
Latex:
(((Unfold `rel\_implies` 0 THEN RecUnfold `rel\_exp` 0) THEN Reduce 0) THEN Auto)
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