Coagulate and Double Edge

Max Coagulate reduce the bleed damage by 30% but max double edge take out 20% health by bleeding over 16 seconds, do both these masteries cancel out each other? Or there is still damage? I wanna max out both if damage is negligible
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Comments
double edge deals 20% of max health
whereas coagulate prevents 30% of bleed damage
if your health is 100 double edge deals 20 damage
if you have max coagulate if prevents 6 damage so you only take 14 damage instead of 20