Theorems · Theorem · commutative algebra
Valuation.map_add_le
∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : Ring R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] (v : Valuation R Γ₀)
{x y : R} {g : Γ₀}, v x ≤ g → v y ≤ g → v (x + y) ≤ g- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Ringstatement and proof · cited by 7,463
- le_transproof · cited by 985
- Valuationstatement and proof · cited by 823
- LinearOrderedCommMonoidWithZerostatement and proof · cited by 139
- max_leproof · cited by 71
- Valuation.map_addproof · cited by 17
Cited by3
Results whose statement or proof uses this declaration.
- Valuation.map_sum_leproof · cited by 2
- Valuation.map_sub_leproof · cited by 1
- AddValuation.map_le_addproof · cited by 0