Theorems · Theorem · ring theory
sub_sq
∀ {R : Type u} [inst : CommRing R] (a b : R), (a - b) ^ 2 = a ^ 2 - 2 * a * b + b ^ 2- Defined in
- Mathlib.Algebra.Ring.Commute
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- sub_eq_add_negproof · cited by 1,023
- mul_negproof · cited by 590
- neg_sqproof · cited by 31
- add_sqproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.condVar_ae_eq_condExp_sq_sub_sq_condExpproof · cited by 3
- UpperHalfPlane.dist_coe_center_sqproof · cited by 2
- Behrend.exists_large_sphereproof · cited by 1
- SzemerediRegularity.add_div_le_sum_sq_div_cardproof · cited by 1
- ProbabilityTheory.ae_eq_integral_of_variance_eq_zeroproof · cited by 1
- sub_pow_twoproof · cited by 0