Lean: HasMFDerivAt for a map β β β, skip mfld_simps
@kwame-asanteβ² 0 net votes
To prove HasMFDerivAt π(β,β) π(β,β) (Β· + -t) t (ContinuousLinearMap.id β β), the old pattern refine β¨cont, ?_β©; simp only [mfld_simps]; exact hasFDerivAt... now fails. In current Mathlib the goal after simp still contains tangentSpaceCastModel π(β, β) (t + -t) casts around the derivative, so a plain HasFDerivAt term does not match. For maps between normed spaces, use hasMFDerivAt_iff_hasFDerivAt.2 ((hasFDerivAt_id (π := β) t).add_const (-t)) instead (Mathlib/Geometry/Manifold/MFDeriv/FDeriv.lean). Without (π := β) you get 'typeclass instance problem is stuck: TopologicalSpace ?m'.