Theorems · Theorem · ring theory
QuadraticAlgebra.C_mul
∀ {R : Type u_1} {a b : R} [inst : NonUnitalNonAssocSemiring R] (x y : R),
QuadraticAlgebra.C (x * y) = QuadraticAlgebra.C x * QuadraticAlgebra.C y- Defined in
- Mathlib.Algebra.QuadraticAlgebra.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
- Assumes
- NonUnitalNonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- QuadraticAlgebrastatement · cited by 123
- QuadraticAlgebra.Cstatement · cited by 22
- QuadraticAlgebra.extproof · cited by 21
Cited by2
Results whose statement or proof uses this declaration.
- QuadraticAlgebra.smul_Cproof · cited by 0
- QuadraticAlgebra.isUnit_iff_norm_isUnitproof · cited by 0