| Projective integrability criterion | 3W8VRMECWD | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2610.12497#HP4U |
| Projective lift and Hilbert function | 83EW4M6RBZ | definition | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2609.31689#YVAV |
| projective line | 3J3ZQKNS5K | unknown | open | Wikidata Q764115, nLab projective line |
| projective linear group | W4TG905N53 | unknown | open | Wikidata Q2997419, MathWorld ProjectiveGeneralLinearGroup |
| projective module | BKVNN1QF9F | definition | open | Wikidata Q942423, EoM Projective_module, Mathlib Module.Projective, MathWorld ProjectiveModule, nLab projective module, ProofWiki Definition:Projective_Module |
| projective object | D86XHB62R8 | definition | open | Wikidata Q2112502, EoM Projective_object_of_a_category, nLab projective object, ProofWiki Definition:Projective_Object |
| projective orthogonal group | 4ETE44Y1MM | unknown | open | Wikidata Q7249468, MathWorld ProjectiveGeneralOrthogonalGroup |
| projective plane | SWW1QD0FPZ | unknown | open | Wikidata Q1475760, MathWorld ProjectivePlane |
| projective plane | VPME96B1CN | concept | open | hott_book index/5.6/projective-plane |
| Projective planes | TCDZ90TS8P | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2610.20649#NTTS |
| projective representation | 6DR3QSG4G5 | unknown | open | Wikidata Q7249476, nLab projective representation |
| projective scheme | RZQ6137AY1 | unknown | open | Wikidata Q91443379, EoM Projective_scheme |
| projective set | 98D0P74Q3K | unknown | open | Wikidata Q219448, EoM Projective_set, nLab projective set |
| projective space | 2W1E90JDWK | unknown | open | Wikidata Q877775, EoM Projective_space, LMFDB knowl ag.projective_space, MathWorld ProjectiveSpace, nLab projective space |
| Projective space and projective subspace | SM35STH66C | definition | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2609.32834#8BVS |
| projective special linear group | CGP5E9VFKM | unknown | open | Wikidata Q78498942, MathWorld ProjectiveSpecialLinearGroup, nLab projective special linear group |
| Projective Tits input | XNX780XH82 | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2609.36098#F9DZ |
| Projective transformations | 1V9GJZ45DP | example | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2610.18154#OXD3 |
| projective unitary group | E6WNVE6MK4 | unknown | open | Wikidata Q7249475, MathWorld ProjectiveGeneralUnitaryGroup, nLab projective unitary group |
| projective variety | 4NFRXDGHQ4 | unknown | open | Wikidata Q3554818, EoM Projective_algebraic_set, MathWorld ProjectiveAlgebraicVariety, nLab projective variety |
| Projective version of the Kong--Tamo bound | S0RQQ058SH | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2609.33365#A1YH |
| Projective-ray estimate | 6QXFTQP098 | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2610.04099#6BSU |
| projectively extended real line | W2HW6DV7XM | unknown | open | Wikidata Q2558939, MathWorld ProjectivelyExtendedRealNumbers |
| projectivization | 8GXQCMM60K | unknown | open | Wikidata Q7249479, MathWorld Projectivization |
| Projector converse | VS74DSGD1V | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2609.35986#RXUB |
| Projector drift via Davis--Kahan | 5B4V607HJR | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2610.08152#JYNU |
| Projector identifiability | D16944A2CP | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2609.31458#SHIG |
| Prokhorov distance | S25XMC1VZK | definition | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2609.40338#ZJPB |
| Prokhorov's theorem | TBETGA4DBM | statement | open | mathlib_1000 Q7249519, Mathlib isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_le, Mathlib isCompact_setOfPred_finiteMeasure_mass_eq_compl_isCompact_le, Mathlib isCompact_setOfPred_probabilityMeasure_mass_eq_compl_isCompact_le, Mathlib isCompact_closure_of_isTightMeasureSet, Wikidata Q7249519, thousand_plus Q7249519, Mathlib isCompact_setOf_finiteMeasure_mass_le_compl_isCompact_le, Mathlib isCompact_setOf_finiteMeasure_mass_eq_compl_isCompact_le, Mathlib isCompact_setOf_probabilityMeasure_mass_eq_compl_isCompact_le, Wikipedia Prokhorov's theorem |
| prolate cycloid | 14Z9PP0JGW | unknown | open | Wikidata Q78153395, MathWorld ProlateCycloid |
| prolate epicycloid | BGTSPSBEMS | unknown | open | Wikidata Q78154039, MathWorld ProlateEpicycloid |
| prolate hypocycloid | E0VVS6W3V6 | unknown | open | Wikidata Q78154038, MathWorld ProlateHypocycloid |
| prolate spheroid | CQENHCPVSP | unknown | open | Wikidata Q3297588, MathWorld ProlateSpheroid |
| prolate spheroidal coordinates | 66X4SRVHB6 | unknown | open | Wikidata Q7249552, MathWorld ProlateSpheroidalCoordinates |
| promonoidal category | THW6VWBRJN | unknown | open | Wikidata Q107469099, nLab promonoidal category |
| promotion | 6F9HE1XK6B | definition | open | Wikidata Q215599, ProofWiki Definition:Chess/Pawn/Promotion |
| Prompt-conditioned score Transformer | GXMZS5B341 | definition | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2610.05333#U7B2 |
| Prompt-generating process | GTSDJMFDPM | definition | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2610.05333#0F6Y |
| pronic number | KZCYWCGGHB | unknown | open | Wikidata Q1486643, MathWorld PronicNumber, OEIS A002378 |
| Proof | DF3BJPCC5X | proof | open | open_logic content/set-theory/replacement/refproofs.tex#proof-2 |
| proof | M8NYR28X6T | concept | open | hott_book index/A.11/proof |
| proof | Q7J14FE12C | concept | open | hott_book index/A.1/proof |
| proof assistant | 7AWVQC2ACK | unknown | open | Wikidata Q11387554, nLab proof assistant |
| proof by cases | BF4DG7QKQD | concept | open | levin_dmoi index/4.2.5/proof-by-cases |
| proof by contradiction | VY3W75JEVC | concept | open | levin_dmoi index/4.2.3/proof-by-contradiction |
| proof by contradiction | ZJ3E8DJ8EN | statement | open | Wikidata Q184899, MathWorld ProofbyContradiction, nLab proof by contradiction, ProofWiki Proof_by_Contradiction |
| proof by contrapositive | DBEJE0GSHM | concept | open | levin_dmoi index/4.2.2/proof-by-contrapositive |
| proof net | JBW75D4BEA | unknown | open | Wikidata Q3457091, nLab proof net |
| Proof of $(\exists x)P(x)$ by Contradiction | 76JVZ08VQK | proof | open | ernst_ibl MAAPressVersion/MoreQuantification.tex#skeleton-2 |
| Proof of $(\forall n \in \mathbb{Z})(n \geq a \implies P(n))$ by Induction | ECB6BGN431 | proof | open | ernst_ibl MAAPressVersion/MoreInduction.tex#skeleton-1 |
| Proof of $(\forall n\in\mathbb{N})P(n)$ by Complete Induction | DPY4RCRYNR | proof | open | ernst_ibl MAAPressVersion/CompleteInduction.tex#skeleton-1 |
| Proof of $(\forall n\in\mathbb{N})P(n)$ by Induction | 42PEFESKK2 | proof | open | ernst_ibl MAAPressVersion/IntroInduction.tex#skeleton-1 |
| Proof of $(\forall x)(A(x)\implies B(x))$ | 15RB0HXFG1 | proof | open | ernst_ibl MAAPressVersion/MoreQuantification.tex#skeleton:for all direct proof |
| Proof of $(\forall x)P(x)$ by Contradiction | ASMJ9KM73X | proof | open | ernst_ibl MAAPressVersion/MoreQuantification.tex#skeleton-1 |
| Proof of $A\implies B$ by contradiction | 9DG1KQH80P | proof | open | ernst_ibl MAAPressVersion/NegatingAndContradiction.tex#pf by contradiction for implication |
| Proof of $A\implies B$ by contraposition | 3Y1EJ1YHGQ | proof | open | ernst_ibl MAAPressVersion/NegatingAndContradiction.tex#pf by contraposition |
| Proof of $A\implies B$ by direct proof | 942D4MKJ04 | proof | open | ernst_ibl MAAPressVersion/NegatingAndContradiction.tex#skeleton:direct proof |
| Proof of $P$ by contradiction | YPXV4H58WK | proof | open | ernst_ibl MAAPressVersion/NegatingAndContradiction.tex#skeleton-1 |
| Proof of \cref{thm:flattening} | P2T9D80263 | proof | open | hott_book hits.tex#proof-34 |
| Proof of \cref{thm:freudcode} | YTJEHACBTH | proof | open | hott_book homotopy.tex#proof-30 |
| Proof of \cref{thm:freudenthal} | F93ZBDWQVA | proof | open | hott_book homotopy.tex#proof-32 |
| Proof of \cref{thm:hlevel-loops} | DJW1KM3ETP | proof | open | hott_book hlevels.tex#proof-14 |
| Proof of \Cref{thm:uniqueness_primary_form_one_prime_torsion_module} | G3TBSYARQG | proof | open | napkin tex/H113/structure.tex#proof-6 |
| Proof of \olref{prop:rep-add} | VDHMJ0QRKJ | proof | open | open_logic content/incompleteness/representability-in-q/basic-representable.tex#proof-4 |
| Proof of \olref{prop:rep-id} | YM3DS0VNMM | proof | open | open_logic content/incompleteness/representability-in-q/basic-representable.tex#proof-2 |
| Proof of \olref{thm:interpolation} | 645QVZJQ9B | proof | open | open_logic content/proof-theory/cut-elimination/interpolation.tex#proof-2 |
| Proof of \olref{thm:lob} | JA77Z8ZYZS | proof | open | open_logic content/incompleteness/incompleteness-provability/lob-thm.tex#proof-1 |
| Proof of \thmref{thm:dbaronpoly} | 4BGZKSYYSZ | proof | open | lebl_scv scv.tex#proof-59 |
| Proof of \thmref{thm:fourierlocalization} | TBJ9NMFM7K | proof | open | lebl_ra ch-approximate.tex#proof-32 |
| Proof of \thmref{thm:Rothstein} | 6J7JDRPNP1 | proof | open | lebl_scv scv.tex#proof-11 |
| Proof of Bochner--Martinelli | 4E24T9NY4K | proof | open | lebl_scv scv.tex#proof-65 |
| Proof of Cartan's uniqueness theorem | 3V1NHANT86 | proof | open | lebl_scv scv.tex#proof-12 |
| Proof of Cayley-Hamilton | 6F206XF6Q5 | proof | open | napkin tex/linalg/dets.tex#proof-3 |
| Proof of density theorem | PYYG97YK0Z | proof | open | napkin tex/rep-theory/semisimple.tex#proof-3 |
| Proof of Green's theorem for $U$ of type III | 8H0BR8AS0E | proof | open | lebl_ra ch-multivar-int.tex#proof-23 |
| Proof of Herbrand's Theorem | KXPZWPHB83 | proof | open | open_logic content/proof-theory/cut-elimination/midsequent.tex#proof-2 |
| Proof of Lemma A.1 | 47SNX445D3 | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2610.11082#914H |
| Proof of Proposition 3.5 | JAC5BGYBDC | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2609.31278#ZRYN |
| Proof of Rice's theorem | NWDFQTX6QQ | proof | open | open_logic content/computability/computability-theory/rice-theorem.tex#proof-1 |
| Proof of Schr\"oder-Bernstein | SXS7XX1KJ4 | proof | open | open_logic content/sets-functions-relations/infinite/card-sb.tex#proof-3 |
| Proof of the lemma | 3YPCHK294R | proof | open | lebl_scv scv.tex#proof-57 |
| Proof of the theorem | GBFFAM6V96 | proof | open | lebl_scv scv.tex#proof-16 |
| Proof of the theorem of Baouendi--Tr{\`e}ves | G230ZCTA37 | proof | open | lebl_scv scv.tex#proof-48 |
| Proof of Theorem 7 | 6EX4GY5HYG | statement | record (an item of a paper that no node asks for yet. The record keeps its edges in the record plane (corpus arxiv AX8.6)) | arXiv 2609.25656#F15H |
| Proof of {\olref[nen-alt]{thm:nonenum-pownat}} by reduction | 8SG7RXTQBZ | proof | open | open_logic content/sets-functions-relations/size-of-sets/reduction-alt.tex#proof-1 |
| Proof of {\olref[nen]{thm:nonenum-pownat}} by reduction | JAN58C5N7R | proof | open | open_logic content/sets-functions-relations/size-of-sets/reduction.tex#proof-1 |
| Proof of~\cref{thm:omg} | ZPQ729CZYM | proof | open | hott_book basics.tex#proof-5 |
| Proof skeleton | G7JX9R9Q5S | proof | open | open_logic content/set-theory/card-arithmetic/opps.tex#proof-5 |
| Proof sketch | 2Y6CT4A3T1 | unknown | open | arXiv 2610.13680#MX0R |
| Proof sketch | D4E88YW43D | proof | open | open_logic content/sets-functions-relations/arithmetization/cauchy.tex#proof-2 |
| Proof Sketch | X7VS078QE4 | proof | open | open_logic content/computability/computability-theory/normal-form.tex#proof-1 |
| Proof that a function is injective | V8G1GR924A | proof | open | ernst_ibl MAAPressVersion/InjectiveSurjectiveFunctions.tex#skeleton-1 |
| Proof that a function is surjective | Z0QHPYT5FY | proof | open | ernst_ibl MAAPressVersion/InjectiveSurjectiveFunctions.tex#skeleton-2 |
| Proof that a relation is reflexive | D8N55AQMZR | proof | open | ernst_ibl MAAPressVersion/Relations.tex#skeleton-1 |
| Proof that a relation is symmetric | AW3D4S17TY | proof | open | ernst_ibl MAAPressVersion/Relations.tex#skeleton-2 |
| Proof that a relation is transitive | 6NFTSSX7NE | proof | open | ernst_ibl MAAPressVersion/Relations.tex#skeleton-3 |
| proof theory | 75KM352SJ5 | topic | open | Wikidata Q852732, MathWorld ProofTheory, nLab proof theory, ProofWiki Definition:Proof_Theory |
| Proof using Chevalley's method | W1NKZJPX29 | unknown | open | arXiv 2011.06637#R9CF |
| Proof using Chevalley's theorem | CDN4ZFB0YB | unknown | open | arXiv 2011.06637#8HP0 |
| Proof using covers | JCNCT3GKFE | proof | open | napkin tex/topology/compactness.tex#proof-4 |