Theorems · Theorem · general topology
Isometry.nnnorm_map_of_map_one
∀ {E : Type u_2} {F : Type u_3} [inst : SeminormedGroup E] [inst_1 : SeminormedGroup F] {f : E → F},
Isometry f → f 1 = 1 → ∀ (x : E), ‖f x‖₊ = ‖x‖₊- Defined in
- Mathlib.Analysis.Normed.Group.Uniform
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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- NNRealstatement · cited by 4,310
- NNNorm.nnnormstatement · cited by 952
- SeminormedGroupstatement and proof · cited by 250
- Isometrystatement and proof · cited by 230
- Isometry.norm_map_of_map_oneproof · cited by 2
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