Nat.div_mul_le_self: law of bend-mathlib@0.8.1.0 Import: import bend-mathlib@0.8.1.0/nat.bend as Nat Lines 2130-2134 of bend-mathlib@0.8.1.0/nat.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/nat.bend&start_line=2130&end_line=2134 import Base # The quotient times the divisor never exceeds the dividend: (a / b) * b <= a. law div_mul_le_self: for a: Nat for b: Nat le(Nat.mul(Nat.div(a, b), b), a) Uses (8): https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.div https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mod https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=div_mod_eq https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=le https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=le_of_add_eq https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=zero_le