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Theorems · Theorem · ring theory

Units.divp_add_divp_same

∀ {α : Type u} [inst : Semiring α] (a b : α) (u : αˣ), a /ₚ u + b /ₚ u = (a + b) /ₚ u
Defined in
Mathlib.Algebra.Ring.Units
Cited by
1 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext
Assumes
Semiring

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.

  • Semiringstatement and proof · cited by 13,802
  • Unitsstatement and proof · cited by 2,804
  • Units.valproof · cited by 1,966
  • add_mulproof · cited by 363
  • divpstatement · cited by 34

Cited by1

Results whose statement or proof uses this declaration.