Theorems · Theorem · commutative algebra
HahnSeries.map_zero
∀ {Γ : Type u_1} {R : Type u_3} {S : Type u_4} [inst : PartialOrder Γ] [inst_1 : Zero R] [inst_2 : Zero S]
(f : ZeroHom R S), HahnSeries.map 0 f = 0- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderZeroZero
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- map_zeroproof · cited by 1,614
- HahnSeriesstatement · cited by 528
- ZeroHomstatement and proof · cited by 161
- HahnSeries.extproof · cited by 53
- HahnSeries.mapstatement · cited by 13
- HahnSeries.map_coeffproof · cited by 8
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