Theorems · Theorem · nonassociative algebras
HVertexOperator.ext
∀ {Γ : Type u_1} [inst : PartialOrder Γ] {R : Type u_2} {V : Type u_3} {W : Type u_4} [inst_1 : CommRing R]
[inst_2 : AddCommGroup V] [inst_3 : Module R V] [inst_4 : AddCommGroup W] [inst_5 : Module R W]
(A B : HVertexOperator Γ R V W), (∀ (v : V), A v = B v) → A = B- Defined in
- Mathlib.Algebra.Vertex.HVertexOperator
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- PartialOrderstatement and proof · cited by 6,410
- LinearMap.extproof · cited by 844
- HahnModulestatement · cited by 51
- HVertexOperatorstatement and proof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- HVertexOperator.coeff_injproof · cited by 1
- HVertexOperator.ext_iffproof · cited by 0