"Considerable evidence" is a phrase used to describe a large amount of proof or information that strongly supports a particular claim or idea. Full definition
There is now considerable evidence of feedback mechanisms from the environment to the chromosomes. (faith.org.uk)
There is now considerable evidence that compassion cultivation has an impact on a range of physiological systems including the immune system, frontal cortex, and cardiovascular systems [19]. (researchprotocols.org)
There is considerable evidence for the Medieval Warm Period and other periods of warmer temperatures. (pearltrees.com)