Theorems · Theorem · commutative algebra
Valuation.IsEquiv.restrict
∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : Ring R] [inst_1 : LinearOrderedCommGroupWithZero Γ₀] (v : Valuation R Γ₀)
{Γ₀' : Type u_7} [inst_2 : LinearOrderedCommGroupWithZero Γ₀'] {w : Valuation R Γ₀'},
v.IsEquiv w → v.restrict.IsEquiv w.restrict- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- MonoidWithZeroHom.ofClassstatement · cited by 204
- MonoidWithZeroHom.ValueGroup₀statement · cited by 166
- Valuation.restrictstatement · cited by 112
- Valuation.IsEquivstatement and proof · cited by 67
Cited by4
Results whose statement or proof uses this declaration.
- Valuation.IsEquiv.orderMonoidIso_specproof · cited by 2
- Valuation.IsEquiv.uniformContinuous_equivproof · cited by 2
- Valuation.IsEquiv.uniformContinuousproof · cited by 1
- Valuation.IsEquiv.uniformContinuous_equiv_symmproof · cited by 1