Theorems · Theorem · ring theory
MonoidAlgebra.forall
∀ {R : Type u_1} {M : Type u_4} [inst : Semiring R] {P : MonoidAlgebra R M → Prop},
(∀ (p : MonoidAlgebra R M), P p) ↔ ∀ (q : M →₀ R), P (MonoidAlgebra.ofCoeff q)- Defined in
- Mathlib.Algebra.MonoidAlgebra.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
- Assumes
- Semiring
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.
- Semiringstatement and proof · cited by 13,802
- Finsuppstatement · cited by 5,255
- MonoidAlgebrastatement and proof · cited by 590
- Equiv.forall_congr_leftproof · cited by 41
- MonoidAlgebra.coeffEquivproof · cited by 12
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.