Theorems · Theorem · ring theory
add_sq
∀ {α : Type u} [inst : CommSemiring α] (a b : α), (a + b) ^ 2 = a ^ 2 + 2 * a * b + b ^ 2- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- sqproof · cited by 280
- add_mul_self_eqproof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- sub_sqproof · cited by 6
- add_pow_twoproof · cited by 4
- four_mul_le_sq_addproof · cited by 3
- add_sq'proof · cited by 2
- HurwitzKernelBounds.f_le_g_natproof · cited by 2
- NNReal.sqrt_mul_lt_half_add_of_neproof · cited by 1
- QuadraticForm.radical_weightedSumSquaresproof · cited by 1
- sqrt_one_add_norm_sq_leproof · cited by 0