Theorems · Theorem · functional analysis
NormedSpace.exp_units_conj
∀ {𝔸 : Type u_1} [inst : NormedRing 𝔸] [NormedAlgebra ℚ 𝔸] [CompleteSpace 𝔸] (y : 𝔸ˣ) (x : 𝔸),
NormedSpace.exp (↑y * x * ↑y⁻¹) = ↑y * NormedSpace.exp x * ↑y⁻¹- Cited by
- 3 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Unitsstatement and proof · cited by 2,804
- CompleteSpacestatement and proof · cited by 2,532
- Units.valstatement · cited by 1,966
- NormedAlgebrastatement and proof · cited by 1,165
- NormedRingstatement and proof · cited by 924
- NormedSpace.expstatement · cited by 157
- ConjAct.toConjActproof · cited by 56
- NormedSpace.exp_smulproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.exp_units_conjproof · cited by 2
- NormedSpace.exp_units_conj'proof · cited by 1
- NormedSpace.exp_conjproof · cited by 0