Step
*
1
2
2
2
of Lemma
not-poly-choice-eta-2
1. x : Base
2. y : Base
3. is-exception(eval z = x in λy.z y)
4. is-exception(eval z = x in
λy.z)
5. is-exception(x)
⊢ eval z = x in λy.z y ≤ x
BY
{ (ExceptionSqequal (-1)⋅ THEN HypSubst' (-1) 0 THEN Reduce 0 THEN Auto) }
Latex:
Latex:
1. x : Base
2. y : Base
3. is-exception(eval z = x in \mlambda{}y.z y)
4. is-exception(eval z = x in
\mlambda{}y.z)
5. is-exception(x)
\mvdash{} eval z = x in \mlambda{}y.z y \mleq{} x
By
Latex:
(ExceptionSqequal (-1)\mcdot{} THEN HypSubst' (-1) 0 THEN Reduce 0 THEN Auto)
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