Theorems · Theorem · commutative algebra
WithVal.toVal_injective
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] [inst_1 : Ring R] (v : Valuation R Γ₀),
Function.Injective (WithVal.toVal v)- Defined in
- Mathlib.Topology.Algebra.Valued.WithVal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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.
- Ringstatement and proof · cited by 7,463
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- WithValstatement · cited by 151
- WithVal.ofVal_toValproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- WithVal.toVal_bijectiveproof · cited by 0
- WithVal.algebraMap_right_injectiveproof · cited by 0
- WithVal.toVal_eq_zeroproof · cited by 0