Mathlib Map

Theorems · Theorem

Prod.map_iterate

∀ {α : Type u_1} {β : Type u_2} (f : α → α) (g : β → β) (n : ℕ), (Prod.map f g)^[n] = Prod.map f^[n] g^[n]
Defined in
Mathlib.Data.Prod.Basic
Cited by
11 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Dynamics.dynEntourage_comp_subset · cited by 3Dynamics.dynEntourage_com…Dynamics.dynEntourage_eq_inter_Ico · cited by 3Dynamics.dynEntourage_eq_…Dynamics.dynEntourage_univ · cited by 2Dynamics.dynEntourage_univDynamics.dynEntourage_zero · cited by 2Dynamics.dynEntourage_zeroFunction.Semiconj.preimage_dynEntourage · cited by 2Semiconj.preimage_dynEnto…Dynamics.IsDynCoverOf.iterate_le_pow · cited by 2IsDynCoverOf.iterate_le_p…Dynamics.dynEntourage_mem_uniformity · cited by 1Dynamics.dynEntourage_mem…Dynamics.dynEntourage_one · cited by 1Dynamics.dynEntourage_oneDynamics.ball_dynEntourage_mem_nhds · cited by 1Dynamics.ball_dynEntourag…Function.isPeriodicPt_prodMap · cited by 1Function.isPeriodicPt_pro…Dynamics.mem_dynEntourage · cited by 0Dynamics.mem_dynEntourageNat.iterate · cited by 740Nat.iterateProd.map_iterateCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by11

Results whose statement or proof uses this declaration.