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Commit 2019-01-23 11:48 5317b593

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refactor(contraction_mapping): add more proves about Lipschitz continuous functions; cleanup proofs

Estimated changes

Modified src/algebra/pi_instances.lean

deleted def prod.prod_semilattice_sup

Modified src/analysis/normed_space/basic.lean

deleted theorem squeeze_zero

Modified src/contraction_mapping.lean

deleted theorem continuous_prod_snd

deleted theorem dist_bound_of_contraction

deleted theorem dist_inequality_of_contraction

deleted theorem fixed_point_exists_of_contraction

deleted theorem fixed_point_of_iteration_limit

added theorem fixed_point_of_tendsto_iterate

deleted theorem fixed_point_unique_of_contraction

deleted theorem iterated_lipschitz_of_lipschitz

deleted def lipschitz

added theorem lipschitz_with.dist_bound_of_contraction

added theorem lipschitz_with.dist_inequality_of_contraction

added theorem lipschitz_with.exists_fixed_point_of_contraction

added theorem lipschitz_with.fixed_point_unique_of_contraction

added def lipschitz_with

deleted theorem tendsto_dist_bound_at_top_nhds_0

deleted theorem uniform_continuous_of_lipschitz

Modified src/order/filter.lean

Modified src/topology/metric_space/basic.lean

deleted theorem dist_prod_eq_dist_0

added theorem metric.uniformity_eq_comap_nhds_zero

added theorem squeeze_zero

Modified src/topology/uniform_space/basic.lean