Theorems · Theorem · commutative algebra
HahnModule.ext
∀ {Γ : Type u_1} {R : Type u_3} {V : Type u_5} [inst : PartialOrder Γ] [inst_1 : Zero V] [inst_2 : SMul R V]
(x y : HahnModule Γ R V), ((HahnModule.of R).symm x).coeff = ((HahnModule.of R).symm y).coeff → x = y- Cited by
- 7 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- PartialOrderZeroSMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Equivstatement · cited by 8,337
- PartialOrderstatement and proof · cited by 6,410
- Equiv.symmstatement and proof · cited by 3,681
- HahnSeriesstatement · cited by 528
- Equiv.injectiveproof · cited by 464
- HahnSeries.coeffstatement and proof · cited by 235
- HahnModulestatement and proof · cited by 51
- HahnModule.ofstatement and proof · cited by 43
- HahnSeries.coeff_injproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- HahnModule.zero_smul'proof · cited by 2
- HahnModule.single_zero_smul_eq_smulproof · cited by 1
- HVertexOperator.coeff_injproof · cited by 1
- HahnModule.one_smul'proof · cited by 0
- HahnModule.add_smulproof · cited by 0
- HahnModule.smul_addproof · cited by 0
- HahnModule.ext_iffproof · cited by 0