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Theorems · Theorem · commutative algebra

Ring.inverse_sub_inverse

∀ {R : Type u_1} [inst : Ring R] {a b : R},
  (IsUnit a ↔ IsUnit b) → Ring.inverse a - Ring.inverse b = Ring.inverse a * (b - a) * Ring.inverse b

A version of inv_sub_inv' for Ring.inverse.

Defined in
Mathlib.Algebra.Ring.Invertible
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Ring

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