Theorems · Theorem · commutative algebra
Valuation.map_one_sub_of_lt
∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : Ring R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] (v : Valuation R Γ₀)
{x : R}, v x < 1 → v (1 - x) = 1- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- sub_eq_add_negproof · cited by 1,023
- Valuationstatement and proof · cited by 823
- LinearOrderedCommMonoidWithZerostatement and proof · cited by 139
- Valuation.map_oneproof · cited by 17
- Valuation.map_negproof · cited by 11
- Valuation.map_add_eq_of_lt_leftproof · cited by 6
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