Theorems · Theorem · commutative algebra
WithVal.strictMono_valueGroupEquiv_symm
∀ {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] {R : Type u_3} [inst_1 : Ring R] (v : Valuation R Γ₀),
StrictMono ⇑(WithVal.valueGroupEquiv v).symm- Defined in
- Mathlib.Topology.Algebra.Valued.WithVal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Ringstatement and proof · cited by 7,463
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- MulEquivstatement · cited by 1,142
- Valuationstatement and proof · cited by 823
- StrictMonostatement · cited by 706
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- MulEquiv.symmstatement · cited by 482
- MonoidWithZeroHom.ofClassstatement and proof · cited by 204
- MonoidWithZeroHom.valueGroupstatement and proof · cited by 170
- Valued.vstatement · cited by 163
Cited by1
Results whose statement or proof uses this declaration.
- WithVal.strictMono_valueGroupOrderIso₀_symmproof · cited by 0