Theorems · Theorem · commutative algebra
WithVal.ofVal_bijective
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero Γ₀] [inst_1 : Ring R] (v : Valuation R Γ₀),
Function.Bijective WithVal.ofVal- Defined in
- Mathlib.Topology.Algebra.Valued.WithVal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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Cites8
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
- Function.Bijectivestatement · cited by 863
- Valuationstatement and proof · cited by 823
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- WithValstatement · cited by 151
- WithVal.ofValstatement · cited by 47
- WithVal.ofVal_injectiveproof · cited by 3
- WithVal.ofVal_surjectiveproof · cited by 2
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