Theorems · Theorem · commutative algebra
WithVal.equiv_apply
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] [inst_1 : Ring R] (v : Valuation R Γ₀)
(self : WithVal v), (WithVal.equiv v) self = self.ofVal- Defined in
- Mathlib.Topology.Algebra.Valued.WithVal
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses 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.coestatement and proof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- RingEquivstatement · cited by 1,147
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- WithValstatement and proof · cited by 151
- WithVal.ofValstatement · cited by 47
- WithVal.equivstatement and proof · cited by 36
Cited by6
Results whose statement or proof uses this declaration.
- Padic.isUniformInducing_cast_withValproof · cited by 2
- Valuation.IsEquiv.uniformContinuous_equivproof · cited by 2
- Valuation.IsEquiv.uniformContinuous_equiv_symmproof · cited by 1
- Padic.withValUniformEquiv_cast_applyproof · cited by 1
- WithVal.equivWithVal_applyproof · cited by 0
- WithVal.equivWithVal_symm_applyproof · cited by 0