Theorems · Theorem · commutative algebra
Valuation.isEquiv_map_self_of_strictMono
∀ {R : Type u_3} {Γ₀ : Type u_4} {Γ'₀ : Type u_5} [inst : Ring R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀]
[inst_2 : LinearOrderedCommMonoidWithZero Γ'₀] {v : Valuation R Γ₀} (f : Γ₀ →*₀ Γ'₀) (H : StrictMono ⇑f),
(Valuation.map f ⋯ v).IsEquiv v- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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- DFunLike.coestatement and proof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- Valuationstatement and proof · cited by 823
- StrictMonostatement and proof · cited by 706
- MonoidWithZeroHomstatement and proof · cited by 704
- LinearOrderedCommMonoidWithZerostatement and proof · cited by 139
- StrictMono.monotonestatement and proof · cited by 118
- StrictMono.le_iff_leproof · cited by 104
- Valuation.IsEquivstatement · cited by 67
- Valuation.mapstatement · cited by 4
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