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Upgrade graph module for paper visualizations - #58
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…ular: - Defines `ZXperm n`, a predicate defining the subset of `ZX n n` which are permutation-like, i.e. stacks and compositions of `Empty`, `Wire`, and `Swap`. - Defines `perm_of_zx`, which gives the underlying permutation of a ZXperm, and shows that this determines the semantics of the diagram, so that showing the equivalence of `ZXperm`s reduces to showing the equality of their underlying permutations. This task in invariably far simpler (in particular, tractable), and we also provide significant automation for completing this task. - Defines `zx_of_perm`, which realizes an arbitrary permutation as a ZX diagram. We prove this is suitably inverse to `perm_of_zx`. - Defines `zx_comm n m : ZX (n + m) (m + n)` and proves its naturality, i.e. `(zx0 ↕ zx1) ⟷ zx_comm m q ∝ zx_comm n p ⟷ (zx1 ↕ zx0)` (see `zx_comm_commutes_r` in `ZXpermFacts.v`). This gives pulling arbitrary diagrams through Swap. Similarly generalize `a_swap` to show arbitrary diagrams can be pulled through it.
…, of the form [name]_nat_(top|mid|bot)_(r|l)[_1], to ZXpermFacts
…ing to use new ZXperm machinery
Remove admitteds from main
…izers. Requires significant cleanup
…much faster proof
Add universality and permutations
Add Euler decomposition
Added coercions to remove INR/Nat.b2n from code leading to improved visualization
Add general Z/X pi copy rules
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