Theorems · Theorem · order theory
HahnSeries.leadingCoeff_abs
∀ {Γ : Type u_1} {R : Type u_2} [inst : LinearOrder Γ] [inst_1 : LinearOrder R] [inst_2 : AddCommGroup R]
[IsOrderedAddMonoid R] (x : Lex (HahnSeries Γ R)), (ofLex |x|).leadingCoeff = |(ofLex x).leadingCoeff|- Defined in
- Mathlib.RingTheory.HahnSeries.Lex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
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
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Equivstatement · cited by 8,337
- LT.lt.leproof · cited by 2,189
- absstatement and proof · cited by 1,814
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- HahnSeriesstatement and proof · cited by 528
- Lexstatement and proof · cited by 370
- lt_trichotomyproof · cited by 178
- ofLexstatement and proof · cited by 127
- abs_zeroproof · cited by 88
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