a = -Coe.coe n : Prop a = -Coe.coe n : Prop -Coe.coe n = a : Prop -Coe.coe n = a : Prop a = Coe.coe n + Coe.coe n : Prop a = Coe.coe n + Coe.coe n : Prop a = 0 - Coe.coe n : Prop a = 0 - Coe.coe n : Prop a + -Coe.coe n : R a + -Coe.coe n : R -Coe.coe n + a : R -Coe.coe n + a : R