Theorems · Theorem · field theory
Nonneg.mk_zpow
∀ {α : Type u_1} [inst : Semifield α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α] {x : α} (hx : 0 ≤ x)
(n : ℤ), ⟨x, hx⟩ ^ n = ⟨x ^ n, ⋯⟩- Defined in
- Mathlib.Algebra.Order.Nonneg.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Semifieldstatement and proof · cited by 439
- zpow_nonnegstatement · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.