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Commit 2022-01-05 22:31 771d1449

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feat(analysis/normed_space/lp_space): completeness of the lp space on Π i, E i (#11094)

Estimated changes

Modified src/analysis/normed/group/basic.lean

added theorem normed_group.uniformity_basis_dist

Modified src/analysis/normed/group/pointwise.lean

added theorem metric.bounded.exists_pos_norm_le

Modified src/analysis/normed_space/lp_space.lean

added theorem lp.mem_ℓp_of_tendsto

added theorem lp.norm_apply_le_norm

added theorem lp.norm_apply_le_of_tendsto

added theorem lp.norm_le_of_forall_le'

added theorem lp.norm_le_of_forall_le

added theorem lp.norm_le_of_forall_sum_le

added theorem lp.norm_le_of_tendsto

added theorem lp.norm_le_of_tsum_le

added theorem lp.sum_rpow_le_norm_rpow

added theorem lp.sum_rpow_le_of_tendsto

added theorem lp.tendsto_lp_of_tendsto_pi

added theorem lp.uniform_continuous_coe

added theorem mem_ℓp_gen'

modified theorem mem_ℓp_gen

Modified src/order/filter/at_top_bot.lean

added theorem filter.eventually_at_bot_curry

added theorem filter.eventually_at_top_curry

Modified src/topology/algebra/infinite_sum.lean

added theorem finite_of_summable_const

Modified src/topology/uniform_space/cauchy.lean

added theorem cauchy_seq.eventually_eventually