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Theorems · Theorem · functional analysis

pi_norm_const

∀ {ι : Type u_1} {E : Type u_2} [inst : Fintype ι] [inst_1 : SeminormedAddGroup E] [Nonempty ι] (a : E),
  ‖fun _i => a‖ = ‖a‖
Defined in
Mathlib.Analysis.Normed.Group.Constructions
Cited by
3 results in Mathlib
Foundations
Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeSeminormedAddGroupNonempty
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Around this declaration

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

HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principal · cited by 3HasFPowerSeriesWithinOnBa…NumberField.house_intCast · cited by 0NumberField.house_intCastpi_nnnorm_const · cited by 0pi_nnnorm_constReal · cited by 25697RealFintype · cited by 7736FintypeNorm.norm · cited by 5413Norm.normSeminormedAddGroup · cited by 331SeminormedAddGroupdist_zero_right · cited by 172dist_zero_rightdist_pi_const · cited by 3dist_pi_constpi_norm_constCITED BYCITES

Cites6

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Cited by3

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