Mathlib Map

Theorems · Theorem · general topology

AddCircle.toCircle_apply_mk

∀ {T : ℝ} (x : ℝ), AddCircle.toCircle ↑x = Circle.exp (2 * Real.pi / T * x)
Defined in
Mathlib.Analysis.SpecialFunctions.Complex.Circle
Cited by
2 results in Mathlib
Foundations
Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AddCircle.toCircle_zero · cited by 9AddCircle.toCircle_zeroAddCircle.homeomorphCircle_apply · cited by 2AddCircle.homeomorphCircl…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealContinuousMap · cited by 2491ContinuousMapReal.pi · cited by 1774Real.piAddSubgroup.zmultiples · cited by 493AddSubgroup.zmultiplesQuotientAddGroup.mk · cited by 348QuotientAddGroup.mkCircle · cited by 227CircleCircle.exp · cited by 73Circle.expAddCircle.toCircle · cited by 41AddCircle.toCircleAddCircle.toCircle_apply_mkCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.