Theorems · Theorem · commutative algebra
Valuation.IsEquiv.orderMonoidIso_symm
∀ {R : Type u_3} {Γ₀ : Type u_4} {Γ'₀ : Type u_5} [inst : LinearOrderedCommGroupWithZero Γ₀]
[inst_1 : LinearOrderedCommGroupWithZero Γ'₀] [inst_2 : Ring R] {v : Valuation R Γ₀} {w : Valuation R Γ'₀}
(h : v.IsEquiv w) (h' : w.IsEquiv v), h.orderMonoidIso.symm = h'.orderMonoidIso- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- MonoidWithZeroHom.ofClassstatement · cited by 204
- MonoidWithZeroHom.valueGroupstatement · cited by 170
- MonoidWithZeroHom.ValueGroup₀statement · cited by 166
- OrderMonoidIsostatement · cited by 114
- Valuation.IsEquivstatement and proof · cited by 67
- OrderMonoidIso.symmstatement and proof · cited by 44
- Valuation.IsEquiv.orderMonoidIsostatement and proof · cited by 8
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