Theorems · Theorem · ring theory
mul_self_sub_one
∀ {R : Type u} [inst : NonAssocRing R] (a : R), a * a - 1 = (a + 1) * (a - 1)- Defined in
- Mathlib.Algebra.Ring.Commute
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses no axioms
- Assumes
- NonAssocRing
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- NonAssocRingstatement and proof · cited by 483
- Commute.one_rightproof · cited by 22
- Commute.mul_self_sub_mul_self_eqproof · cited by 4
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