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Do you have a series of concatenated fossils to show this? or are you willing to jump the shark to stick to your belief?
If I had a complete sample of every single generation from Buzzard3 to what you would unambiguously call "an ape" you still wouldn't believe it.
In any reasonable sense the consistent incomplete fossil and genetic lineage with supporting geological evidence absolutely demonstrates evolutionary history.
This absolutely fits into the nested hierarchy. Fossil, genetic and structural evidence demonstrate that this is a variety of mammal with some traits more consistent with the evidenced basal synapsids.
In other words, you can't prove that mammals descended from fish, let alone prove that mammals descended from fish via a natural process. That comes as no surprise at all.
In a mathematical sense of prove? No. However I can't "prove" that I'm my mother's son to that standard.
Science deals in demonstrable evidence. So using the scientific evidence and using "prove" in the colloquial "beyond all reasonable doubt" then evolution in general and common descent in particular are absolutely proven.
The natural processes of mutation and inheritance have been demonstrated to be a mechanism for successive changes to species... and we have evidence that is consistent with this occurring on the universal scale so it is reasonable to accept it as an explanation.
We have gaps in out knowledge about what exact mechanisms were present, but we do not have examples that are counter to natural selection and mutation as explanations.
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