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Theorems · Theorem · order theory

WithTop.coe_sub

∀ {α : Type u_1} [inst : Sub α] [inst_1 : Bot α] {a b : α}, ↑(a - b) = ↑a - ↑b
Defined in
Mathlib.Algebra.Order.Sub.WithTop
Cited by
1 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
SubBot

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.

  • WithTopstatement · cited by 3,754
  • WithTop.somestatement · cited by 1,128
  • Botstatement and proof · cited by 96

Cited by1

Results whose statement or proof uses this declaration.