Theorems · Theorem · commutative algebra
Valuation.IsEquiv.orderMonoidIso_eq_refl
∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : LinearOrderedCommGroupWithZero Γ₀] [inst_1 : Ring R] {v : Valuation R Γ₀}
(h : v.IsEquiv v), h.orderMonoidIso = OrderMonoidIso.refl (MonoidWithZeroHom.ofClass v).ValueGroup₀- 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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Cites21
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- DFunLike.coeproof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- Subgroupstatement · cited by 3,593
- Unitsstatement · cited by 2,804
- map_zeroproof · cited by 1,614
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- MonoidWithZeroHom.ofClassstatement and proof · cited by 204
- WithZero.coeproof · cited by 186
- MonoidWithZeroHom.valueGroupstatement · cited by 170
- MonoidWithZeroHom.ValueGroup₀statement and proof · cited by 166
- OrderMonoidIsostatement · cited by 114
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