problem([]==>x:pnat=>y:pnat=>leq(min(x,y),max(x,y)),
ind_strat(induction(lemma(pairs)-[(x:pnat)-s(v1),(y:pnat)-s(v0)])then[base_case(sym_eval(normalize_term([reduction([1],[min1,equ(pnat,left)]),reduction([],[leq1,equ(u(1),left)])]))then[elementary(istrue)]),base_case(sym_eval(normalize_term([reduction([1],[min2,equ(pnat,left)]),reduction([],[leq1,equ(u(1),left)])]))then[elementary(istrue)]),step_case(ripple(direction_out,wave(direction_out,[2],[max3,equ(pnat,left)],[])then[wave(direction_out,[1],[min3,equ(pnat,left)],[])then[wave(direction_out,[],[leq3,equ(u(1),left)],[])]])then[unblock_then_fertilize(strong,unblock_fertilize_lazy([idtac])then fertilize(strong,v2))])]),lambda(v0,lambda(v1,lambda(v2,su(su(v4,[v3 of v0],[v4]),[v2 of v1],[v3]))of lambda(v0,lambda(v1,lambda(v2,su(su(v4,[v3 of v0],[v4]),[v2 of v1],[v3]))of lambda(x,lambda(y,su(lambda(v3,su(su(su(su(su(su(v10,[v9 of lambda(v1,lambda(v0,lambda(v2,su(su(su(su(su(su(su(su(su(v2,[v3 of max(v1,v0)],[v4]),[leq3 of min(v1,v0)],[v3]),[term_of(leq3)],[leq3]),[v3 of v0],[v4]),[min3 of v1],[v3]),[term_of(min3)],[min3]),[v3 of v0],[v4]),[max3 of v1],[v3]),[term_of(max3)],[max3]))))],[v10]),[v8 of lambda(v0,su(su(su(su(0,[leq1 of max(v0,0)],[v1]),[term_of(leq1)],[leq1]),[min2 of v0],[v1]),[term_of(min2)],[min2]))],[v9]),[v7 of lambda(v0,su(su(su(su(0,[leq1 of max(0,v0)],[v1]),[term_of(leq1)],[leq1]),[min1 of v0],[v1]),[term_of(min1)],[min1]))],[v8]),[v6 of y],[v7]),[v5 of x],[v6]),[v3 of lambda(x,lambda(y,leq(min(x,y),max(x,y))))],[v5]))of v4,[term_of(pairs)],[v4]))))))),
[
]).
