Theorems · Theorem · commutative algebra
ValuativeRel.isEquiv
∀ {R : Type u_2} [inst : Ring R] [inst_1 : ValuativeRel R] {Γ₁ : Type u_3} {Γ₂ : Type u_4}
[inst_2 : LinearOrderedCommMonoidWithZero Γ₁] [inst_3 : LinearOrderedCommMonoidWithZero Γ₂] (v₁ : Valuation R Γ₁)
(v₂ : Valuation R Γ₂) [v₁.Compatible] [v₂.Compatible], v₁.IsEquiv v₂- Cited by
- 6 results in Mathlib
- Foundations
- Depth 25 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.
- Ringstatement and proof · cited by 7,463
- Valuationstatement and proof · cited by 823
- ValuativeRelstatement and proof · cited by 241
- LinearOrderedCommMonoidWithZerostatement and proof · cited by 139
- ValuativeRel.vleproof · cited by 84
- Valuation.Compatiblestatement and proof · cited by 71
- Valuation.IsEquivstatement · cited by 67
Cited by6
Results whose statement or proof uses this declaration.
- ValuativeRel.ValueGroupWithZero.embed_strictMonoproof · cited by 4
- ValuativeRel.subsingleton_units_valueGroupWithZero_of_trivialRelproof · cited by 2
- Valuation.apply_posSubmonoid_ne_zeroproof · cited by 1
- ValuativeRel.isNontrivial_iff_isNontrivialproof · cited by 1
- Padic.valuation_p_lt_oneproof · cited by 0
- Padic.valuation_p_ne_zeroproof · cited by 0