[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 88 from proof ks-RED (previous step)

∀ n0. n0 < n → (true → 〈RED(ks(n0); t)〉 ((even(n0) → t = K) ∧ (odd(n0) → t = K _ K))), n = 0 ∨ n = 1 ⊦ 〈RED1(ks(n); tn0)〉〈if tn0 ≠ none then RED(tn0 .t; t0) else t0 := ks(n)〉 ((even(n) → t0 = K) ∧ (odd(n) → t0 = K _ K))

User applied rule call right

And obtained the following new goals

Proof step 2:
⊦
Proof step 87:
∀ n0. n0 < n → (true → 〈RED(ks(n0); t)〉 ((even(n0) → t = K) ∧ (odd(n0) → t = K _ K))), n = 0 ∨ n = 1 ⊦ 〈TOPRED(ks(n); tn)〉〈if tn = none ∧ ap(ks(n)) then { RED1(ks(n) .1; tn) ; if tn ≠ none then tn := some(tn .t _ ks(n) .2) else if value(ks(n) .1) then { RED1(ks(n) .2; tn) ; if tn ≠ none then tn := some(ks(n) .1 _ tn .t) } }〉〈if tn ≠ none then RED(tn .t; t0) else t0 := ks(n)〉 ((even(n) → t0 = K) ∧ (odd(n) → t0 = K _ K))

Rule argument

[fmapos-arg: pos: right 1]

Additional information

[[CONCRETESIMPRULES : ()]]