def minimum_monotone

stelliferous@0.0.2.0 · proofs/nat_extrema.bend:95

import Base
import stelliferous@0.0.2.0/proofs/nat_order.bend as Order

95def minimum_monotone(+left: Nat,+right: Nat,+limit: Nat,ordered: {Nat.is_le(left,right) == True{} : Bool}) ->
96  {Nat.is_le(Nat.min(limit,left),Nat.min(limit,right)) == True{} : Bool}:
97  minimum_lower(limit,right,Nat.min(limit,left),minimum_left(limit,left),Order.transitive(Nat.min(limit,left),left,right,minimum_right(limit,left),ordered))