Theorems · Theorem · field theory
Real.iSup_nonneg_of_nonnegHomClass
∀ {ι : Type u_2} {F : Type u_3} {α : Type u_4} [inst : FunLike F α ℝ] [NonnegHomClass F α ℝ] (f : F) (g : ι → α),
0 ≤ ⨆ i, f (g i)- Cited by
- 9 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FunLikeNonnegHomClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- FunLikestatement and proof · cited by 2,560
- iSupstatement · cited by 2,415
- NonnegHomClass.apply_nonnegproof · cited by 79
- NonnegHomClassstatement and proof · cited by 25
- Real.iSup_nonnegproof · cited by 6
Cited by9
Results whose statement or proof uses this declaration.
- Height.mulHeight_eval_leproof · cited by 3
- Height.mulHeight_sumElim_zero_eqproof · cited by 3
- Height.mulHeight_comp_leproof · cited by 2
- IsNonarchimedean.apply_sum_leproof · cited by 2
- Height.mulHeight_linearMap_apply_leproof · cited by 2
- NumberField.finite_setOfPred_mulHeight_nat_leproof · cited by 1
- IsNonarchimedean.eval_mvPolynomial_leproof · cited by 1
- IsNonarchimedean.iSup_abv_linearMap_apply_leproof · cited by 1
- AbsoluteValue.iSup_abv_linearMap_apply_leproof · cited by 1