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Diff — 100

Revision #967 → #1973 · back to history

modified100 as natural numberf320d88099a6
FieldFrom #967To #1973
mathlib.moduleMathlib.Data.Nat.DefsInit.Prelude
noteThe natural number 100 is trivially expressible as the term `(100 : ℕ)` in Mathlib's `Nat` type.The natural number 100 is the term `(100 : ℕ)` in the core `Nat` inductive type.
modified100 is the square of 10a20b2720176b
FieldFrom #967To #1973
noteThe equality `100 = 10^2` holds by `decide`/`rfl` in Mathlib, though no named lemma states this concrete fact.The equality `100 = 10^2` is decidable in Mathlib via `decide`/`rfl`, but no named lemma states this concrete fact.
modifiedBasis of percentagesa92f4bada979
FieldFrom #967To #1973
noteMathlib has no definition of percentages tying to the number 100.Mathlib has no definition of percentages tied to the number 100.
modifiedSum of first nine primes8e18abeacc8a
FieldFrom #967To #1973
mathlib.moduleMathlib.Data.Nat.Prime.NthMathlib.Data.Nat.Nth
modifiedTotient values of 1004b729ecf279c
FieldFrom #967To #1973
noteMathlib defines `Nat.totient` and `ArithmeticFunction.carmichael` (reduced totient) but the values at 100 are not explicit lemmas.Mathlib defines `Nat.totient` and `ArithmeticFunction.carmichael` (reduced totient) but the values at 100 are not stated as explicit lemmas.
modifiedNicomachus's theorem instance8a010aeef955
FieldFrom #967To #1973
noteNo `sum_cubes`/Nicomachus theorem lemma was found in Mathlib via grep.No `sum_cubes`/Nicomachus theorem lemma was found in Mathlib via grep or loogle.
addedSquare of sum of first four positive integers3d41bdbfbb55
addedLeyland decomposition of 10006d690b871a6
modified100 is the seventeenth Erdős–Woods numberffdff60a3ba2
FieldFrom #967To #1973
anchor.snippetis also the seventeenth Erdős–Woods number, and the fourthis also the seventeenth Erdős–Woods number
labelErdős–Woods and 18-gonal number100 is the seventeenth Erdős–Woods number
noteNeither Erdős–Woods numbers nor polygonal/18-gonal numbers appear in Mathlib by grep.Erdős–Woods numbers are not defined in Mathlib (no matches via grep).
provenanceaiai-moderated
added100 is the fourth 18-gonal number563bc9050fff
modified10th star number8ca9923b487f
FieldFrom #967To #1973
noteGrep for star number / starNumber in Mathlib returns no results.Grep for `starNumber`/`star_number` in Mathlib returns no results.