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Theorems · Theorem · special functions

Real.continuous_arcsin

Continuous Real.arcsin
Defined in
Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse
Cited by
8 results in Mathlib
Foundations
Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Real.continuous_arccos · cited by 9Real.continuous_arccosReal.continuousAt_arcsin · cited by 3Real.continuousAt_arcsinFilter.Tendsto.arcsin · cited by 2Tendsto.arcsinReal.contDiffAt_arcsin_iff · cited by 1Real.contDiffAt_arcsin_iffReal.measurable_arcsin · cited by 1Real.measurable_arcsinContinuous.arcsin · cited by 0Continuous.arcsinFilter.Tendsto.arcsin_nhdsGE · cited by 0Tendsto.arcsin_nhdsGEFilter.Tendsto.arcsin_nhdsLE · cited by 0Tendsto.arcsin_nhdsLEReal · cited by 25697RealContinuous · cited by 2592ContinuousOrderIso.symm · cited by 475OrderIso.symmContinuous.comp · cited by 371Continuous.compcontinuous_subtype_val · cited by 159continuous_subtype_valReal.arcsin · cited by 125Real.arcsinReal.sinOrderIso · cited by 9Real.sinOrderIsoOrderIso.continuous · cited by 6OrderIso.continuousContinuous.Icc_extend' · cited by 3Continuous.Icc_extend'Real.continuous_arcsinCITED BYCITES

Cites9

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

Cited by8

Results whose statement or proof uses this declaration.