Theorems · Theorem · functional analysis
CStarAlgebra.pow_nonneg
∀ {A : Type u_1} [inst : CStarAlgebra A] [inst_1 : PartialOrder A] [StarOrderedRing A] {a : A},
autoParam (0 ≤ a) CStarAlgebra.pow_nonneg._auto_1 → ∀ (n : ℕ), 0 ≤ a ^ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 317 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- PartialOrderstatement and proof · cited by 6,410
- StarOrderedRingstatement and proof · cited by 587
- CStarAlgebrastatement and proof · cited by 123
- cfc_pow_idproof · cited by 7
- cfc_nonneg_of_predicateproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CStarAlgebra.nnnorm_sub_mul_self_leproof · cited by 1