feat: more succ/pred lemmas for Nat
#195
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[ ] Depends on [std4#195](leanprover-community/batteries#195) * Use `Nat.le_sub_one_of_lt` instead of `Nat.le_pred_of_lt`. * New implicit parameter for `Nat.eq_zero_of_nonpos`.
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Potentially breaking: * `Nat.le_pred_of_lt` was changed to use `pred` instead of `_-1`; use `Nat.le_sub_one_of_lt` instead * Deprecated `Nat.succ_eq_one_add` * New implicit parameter for `Nat.eq_zero_of_nonpos`
Co-authored-by: Mario Carneiro <di.gama@gmail.com>
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Nat) mathlib4#6203There are two potentially breaking changes here:
Nat.le_pred_of_ltwas changed to usepredinstead of_-1andNat.le_sub_one_of_ltwas added as a replacement.Nat.eq_zero_of_nonpos.