equal
deleted
inserted
replaced
438 apply (rule lessI) |
438 apply (rule lessI) |
439 done |
439 done |
440 |
440 |
441 lemma finite_deflation_lift_approx: "finite_deflation (lift_approx i)" |
441 lemma finite_deflation_lift_approx: "finite_deflation (lift_approx i)" |
442 proof |
442 proof |
443 fix x |
443 fix x :: "'a lift" |
444 show "lift_approx i\<cdot>x \<sqsubseteq> x" |
444 show "lift_approx i\<cdot>x \<sqsubseteq> x" |
445 unfolding lift_approx_def |
445 unfolding lift_approx_def |
446 by (cases x, simp, simp) |
446 by (cases x, simp, simp) |
447 show "lift_approx i\<cdot>(lift_approx i\<cdot>x) = lift_approx i\<cdot>x" |
447 show "lift_approx i\<cdot>(lift_approx i\<cdot>x) = lift_approx i\<cdot>x" |
448 unfolding lift_approx_def |
448 unfolding lift_approx_def |