Theorems · Theorem · ring theory
Units.divp_sub_divp
∀ {α : Type u} [inst : CommRing α] (a b : α) (u₁ u₂ : αˣ), a /ₚ u₁ - b /ₚ u₂ = (a * ↑u₂ - ↑u₁ * b) /ₚ (u₁ * u₂)- Defined in
- Mathlib.Algebra.Ring.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- sub_eq_add_negproof · cited by 1,023
- mul_negproof · cited by 590
- divpstatement and proof · cited by 34
- Units.neg_divpproof · cited by 2
- Units.divp_add_divpproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.