Theorems · Theorem · commutative algebra
Valuation.ext
∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : Ring R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] {v₁ v₂ : Valuation R Γ₀},
(∀ (r : R), v₁ r = v₂ r) → v₁ = v₂- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- Valuationstatement and proof · cited by 823
- DFunLike.extproof · cited by 240
- LinearOrderedCommMonoidWithZerostatement and proof · cited by 139
Cited by8
Results whose statement or proof uses this declaration.
- AddValuation.extproof · cited by 1
- Valuation.comap_compproof · cited by 1
- Valuation.comap_idproof · cited by 1
- Valuation.comap_onQuot_eqproof · cited by 1
- Valuation.onQuot_comap_eqproof · cited by 1
- Padic.comap_mulValuation_eq_int_padicValuationproof · cited by 0
- Padic.comap_mulValuation_eq_padicValuationproof · cited by 0
- Valuation.ext_iffproof · cited by 0