NatExtrema.minimum_monotone: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/nat_extrema.bend as NatExtrema
Lines 95-97 of stelliferous@0.0.2.0/proofs/nat_extrema.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/nat_extrema.bend&start_line=95&end_line=97

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

def minimum_monotone(+left: Nat,+right: Nat,+limit: Nat,ordered: {Nat.is_le(left,right) == True{} : Bool}) ->
  {Nat.is_le(Nat.min(limit,left),Nat.min(limit,right)) == True{} : Bool}:
  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))

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.min
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_extrema.bend&name=minimum_left
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_extrema.bend&name=minimum_lower
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_extrema.bend&name=minimum_right
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_order.bend&name=transitive