slope_fun_def_field
∀ {k : Type u_1} [inst : Field k] (f : k → k) (a : k), slope f a = fun b => (f b - f a) / (b - a)- Defined in
- Mathlib.LinearAlgebra.AffineSpace.Slope
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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.
- Fieldstatement and proof · cited by 7,404
- VSub.vsubproof · cited by 817
- slopestatement · cited by 147
- div_eq_inv_mulproof · cited by 146
Cited by5
Results whose statement or proof uses this declaration.
- ConvexOn.slope_monoproof · cited by 8
- StieltjesFunction.ae_hasDerivAtproof · cited by 1
- Monotone.ae_hasDerivAtproof · cited by 1
- ZetaAsymptotics.tendsto_Gamma_term_auxproof · cited by 1
- HasDerivAt.continuousAt_divproof · cited by 0