Theorems · Theorem · commutative algebra
Valuation.IsUniformizer.congr_simp
∀ {Γ : Type u_1} [inst : LinearOrderedCommGroupWithZero Γ] {A : Type u_2} [inst_1 : Ring A] (v v_1 : Valuation A Γ)
(e_v : v = v_1) [hv : v.IsRankOneDiscrete] (π π_1 : A), π = π_1 → v.IsUniformizer π = v_1.IsUniformizer π_1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, 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.
- Ringstatement and proof · cited by 7,463
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- Valuation.IsRankOneDiscretestatement and proof · cited by 53
- Valuation.IsUniformizerstatement and proof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- RatFunc.valuation_isEquiv_valuationIdeal_adic_of_valuation_X_le_oneproof · cited by 1