Commit 2024-08-12 15:04 f57201f9

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chore: deduplicate inv_mul_cancel/mul_inv_cancel, etc. (#15717)

  • mul_left_inv, inv_mul_selfinv_mul_cancel (for Group)
  • mul_right_inv, mul_inv_selfmul_inv_cancel
  • add_left_neg, neg_add_selfneg_add_cancel (for AddGroup)
  • add_right_neg, add_neg_selfadd_neg_cancel
  • inv_mul_cancelinv_mul_cancel₀ (for GroupWithZero)
  • mul_inv_cancelmul_inv_cancel₀

Estimated changes

added theorem inv_mul_cancel
deleted theorem inv_mul_self
added theorem mul_inv_cancel
deleted theorem mul_inv_self
deleted theorem mul_left_inv
deleted theorem mul_right_inv