Theorems · Theorem · commutative algebra
HahnSeries.coeff_zero
∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] {a : Γ}, HahnSeries.coeff 0 a = 0- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- HahnSeriesstatement · cited by 528
- HahnSeries.coeffstatement · cited by 235
Cited by3
Results whose statement or proof uses this declaration.
- HahnSeries.coeff_eq_zero_of_lt_orderTopproof · cited by 9
- HahnSeries.ne_zero_of_coeff_ne_zeroproof · cited by 3
- HahnSeries.leadingCoeff_eqproof · cited by 3