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Diff — E (mathematical constant)

Revision #2996 → #3539 · back to history

modifiede is irrationalc6ba592c2cde
FieldFrom #2996To #3539
mathlib.declNat.Prime.irrational_sqrt
mathlib.match_kindexact
mathlib.moduleMathlib.Analysis.Transcendental.EIsTranscendental
noteIrrationality of e is available in Mathlib as a consequence of transcendence; searched-for `Irrational_exp_one`-style lemma exists via `Real.transcendental_exp_one` → irrational.Previous mathlib pointer `Nat.Prime.irrational_sqrt` was unrelated (it concerns √p for prime p). Irrationality of e would follow from the (not-yet-fully-formalized) transcendence of e; no direct `Irrational (Real.exp 1)` declaration was verified.
statusformalizednot_formalized
addedContinuous compounding formula e^{Rt}f4d4d3f030c1
addedExponential decay solution140b157a3494
addedStandard normal maximum valueb7d24223c54f
addedSolution family for y' = ye6536d0fccc2