Theorems · Theorem · ring theory
mul_self_sub_mul_self
∀ {R : Type u} [inst : NonUnitalNonAssocCommRing R] (a b : R), a * a - b * b = (a + b) * (a - b)Representation of a difference of two squares in a commutative ring as a product.
- Defined in
- Mathlib.Algebra.Ring.Commute
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses no axioms
- Assumes
- NonUnitalNonAssocCommRing
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Commute.allproof · cited by 119
- NonUnitalNonAssocCommRingstatement and proof · cited by 8
- Commute.mul_self_sub_mul_self_eqproof · cited by 4
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