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Timeline for What does this graph mean?

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Nov 27, 2018 at 17:15 vote accept user64494
Nov 27, 2018 at 17:15 comment added user64494 Thank you. I confirm that behavior. It should be documented.
Nov 27, 2018 at 16:15 comment added Szabolcs @user64494 I hover the green thing with the mouse, I see "Axiom 1". Then I go to the proof notebook, there is a heading "Axiom 1", with the axiom written below it. Please post a screenshot of your proof notebook if these do not appear for you.
Nov 27, 2018 at 16:04 comment added Henrik Schumacher @user64494 Apparently, the axiom ForAll[a, g[a, inv[a]] == e] is needed nowhere in the proof; it is superseeded by the idempotence axiom ForAll[a, g[a, a] == e]. I suspect that the output of FindEquationalProof are meant to be minimal in some sense and that this minimality is why the axiom ForAll[a, g[a, inv[a]] == e] just does not appear in the returned ProofObject.
Nov 27, 2018 at 15:07 comment added user64494 Can you kindly elaborate your statement "The axioms are clearly listed in both the dataset and the (easier to read) notebook for me under the same name as in the graph"? I repeat my open question "There are four axioms. Which of them is noticed by the left green node at the top of the graph? ". TIA.
Nov 27, 2018 at 14:02 history edited Szabolcs CC BY-SA 4.0
added 243 characters in body
Nov 27, 2018 at 13:58 comment added Szabolcs @user64494 I do not understand your comment. The axioms are clearly listed in both the dataset and the (easier to read) notebook for me under the same name as in the graph. I used M11.3. If your dataset does not contain them, please show a screenshot and indicate your Mathematica version (though I think M11.3 is the only released version with this functionality).
Nov 27, 2018 at 13:56 history edited Szabolcs CC BY-SA 4.0
added 243 characters in body
Nov 27, 2018 at 13:54 comment added user64494 There are four axioms. Which of them is noticed by the left green node at the top of the graph? The result of proof["ProofDataset"] says nothing about it for me.
Nov 27, 2018 at 13:51 comment added Szabolcs @user64494 I thought that would be clear after looking at their names. Green ones are all Axioms, orange triangles "Critical Pair Lemma", etc. I am simply guessing from reading the node names. As I said, I am not familiar with this functionality either.
Nov 27, 2018 at 13:49 comment added user64494 Thank you. Can you kindly elaborate your answer, explaining what the left green node at the top of the graph means?
Nov 27, 2018 at 13:44 history answered Szabolcs CC BY-SA 4.0