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Theorems · Theorem · commutative algebra

Ring.inverse_add_inverse

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

A version of inv_add_inv' for Ring.inverse.

Defined in
Mathlib.Algebra.Ring.Invertible
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring

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