Theorems · Theorem · ring theory
SkewMonoidAlgebra.ext
∀ {k : Type u_1} {G : Type u_2} [inst : AddMonoid k] {p q : SkewMonoidAlgebra k G},
(∀ (a : G), p.coeff a = q.coeff a) → p = q- Defined in
- Mathlib.Algebra.SkewMonoidAlgebra.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsuppstatement · cited by 5,255
- AddMonoidstatement and proof · cited by 2,864
- SkewMonoidAlgebrastatement and proof · cited by 216
- SkewMonoidAlgebra.coeffstatement · cited by 110
- SkewMonoidAlgebra.ext_iffproof · cited by 2
Cited by10
Results whose statement or proof uses this declaration.
- SkewMonoidAlgebra.single_add_eraseproof · cited by 2
- SkewPolynomial.mul_defproof · cited by 1
- SkewPolynomial.extproof · cited by 1
- SkewMonoidAlgebra.equivMapDomain_reflproof · cited by 0
- SkewMonoidAlgebra.equivMapDomain_transproof · cited by 0
- SkewMonoidAlgebra.mapDomain_mulproof · cited by 0
- SkewMonoidAlgebra.update_eq_erase_add_singleproof · cited by 0
- SkewMonoidAlgebra.update_selfproof · cited by 0
- SkewMonoidAlgebra.update_zero_eq_eraseproof · cited by 0
- SkewMonoidAlgebra.domCongr_reflproof · cited by 0