Proof mode notation broken depending on import order
It is a long-standing issue that sometimes, depending on the order of re-exports and imports, the proof mode notation is broken. I finally decided to minimize this, and you can find the result in the ipm-notation-broken branch. I first thought this is a Coq bug, but now I am not so sure anymore: We do have different notations in the same scope that lead to printing being ambiguous.
Namely, we have
Notation "P ⊢ Q" := (uPred_entails P%I Q%I)
(at level 99, Q at level 200, right associativity) : C_scope.and
Notation "Γ '--------------------------------------' □ Δ '--------------------------------------' ∗ Q" :=
(of_envs (Envs Γ Δ) ⊢ Q%I)
(at level 1, Q at level 200, left associativity,
format "Γ '--------------------------------------' □ '//' Δ '--------------------------------------' ∗ '//' Q '//'", only printing) :
C_scope.We seem to be relying on a guarantee that if one notation is strictly more specific than another one, it will have higher priority. Does Coq claim to have such a guarantee?
Maybe one possible solution would be to move the proof mode notations into a different scope, and have iStartProof introduce that scope (i.e., turn the goal into (...)%ProofMode).