Theorems · Theorem · commutative algebra
WithVal.ofVal_add
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] [inst_1 : Ring R] (v : Valuation R Γ₀)
(x y : WithVal v), (x + y).ofVal = x.ofVal + y.ofVal- Defined in
- Mathlib.Topology.Algebra.Valued.WithVal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 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 and proof · cited by 151
- WithVal.ofValstatement · cited by 47
Cited by1
Results whose statement or proof uses this declaration.
- WithVal.equivproof · cited by 36