Theorems · Theorem · commutative algebra
HahnSeries.single_zero_one
∀ {Γ : Type u_1} {R : Type u_3} [inst : Zero Γ] [inst_1 : PartialOrder Γ] [inst_2 : Zero R] [inst_3 : One R],
(HahnSeries.single 0) 1 = 1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroPartialOrderZeroOne
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.
- DFunLike.coestatement · cited by 62,936
- PartialOrderstatement and proof · cited by 6,410
- HahnSeriesstatement · cited by 528
- ZeroHomstatement · cited by 161
- HahnSeries.singlestatement · cited by 82
Cited by3
Results whose statement or proof uses this declaration.
- HahnSeries.orderTop_oneproof · cited by 3
- HahnSeries.unit_auxproof · cited by 2
- HahnSeries.one_minus_single_neg_mulproof · cited by 1