Theorems · Theorem · commutative algebra
HahnSeries.support_zero
∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R], HahnSeries.support 0 = ∅- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 7 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement · cited by 528
- HahnSeries.supportstatement · cited by 84
- Function.support_zeroproof · cited by 12
Cited by7
Results whose statement or proof uses this declaration.
- HahnSeries.coeff_mul_single_addproof · cited by 3
- HahnModule.zero_smul'proof · cited by 2
- HahnSeries.embDomain_singleproof · cited by 2
- HahnModule.coeff_single_smul_vaddproof · cited by 2
- HahnSeries.cardSupp_zeroproof · cited by 2
- HahnSeries.embDomain_zeroproof · cited by 1
- HahnModule.coeff_smul_order_add_orderproof · cited by 1