Theorems · Theorem · functional analysis
IsometryEquiv.coe_toRealLinearIsometryEquivOfMapZero_symm
∀ {E : Type u_1} {F : Type u_3} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
[inst_3 : NormedSpace ℝ F] (f : E ≃ᵢ F) (h0 : f 0 = 0), ⇑(f.toRealLinearIsometryEquivOfMapZero h0).symm = ⇑f.symm- Defined in
- Mathlib.Analysis.Normed.Affine.MazurUlam
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- LinearIsometryEquivstatement · cited by 748
- LinearIsometryEquiv.symmstatement · cited by 287
- IsometryEquivstatement and proof · cited by 177
- IsometryEquiv.symmstatement · cited by 75
- IsometryEquiv.toRealLinearIsometryEquivOfMapZerostatement · cited by 2
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