Theorems · Theorem · commutative algebra
AddValuation.IsEquiv.ne_top
∀ {R : Type u_3} {Γ₀ : Type u_4} {Γ'₀ : Type u_5} [inst : LinearOrderedAddCommMonoidWithTop Γ₀]
[inst_1 : LinearOrderedAddCommMonoidWithTop Γ'₀] [inst_2 : Ring R] {v₁ : AddValuation R Γ₀} {v₂ : AddValuation R Γ'₀},
v₁.IsEquiv v₂ → ∀ {r : R}, v₁ r ≠ ⊤ ↔ v₂ r ≠ ⊤- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Top.topstatement · cited by 9,680
- Ringstatement and proof · cited by 7,463
- AddValuationstatement and proof · cited by 96
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- Iff.neproof · cited by 52
- Valuation.IsEquiv.eq_zeroproof · cited by 11
- AddValuation.IsEquivstatement and proof · cited by 8
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