| Proof of authority | 5MK9B50F16 | definition | open | Wikipedia Proof of authority, Wikidata Q48804055 |
| Proof of Bertrand's postulate | 7TPNWBHE5Q | definition | open | Wikipedia List of factorial and binomial topics#7XTO |
| Proof of Bertrand's postulate | RV7MFB324S | definition | open | Wikipedia Proof of Bertrand's postulate, Wikidata Q13634063 |
| 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 Fermat's Last Theorem for specific exponents | C3GJS3WQXH | statement | open | Wikipedia Proof of Fermat's Last Theorem for specific exponents, Wikidata Q3044466 |
| 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 impossibility | GX6HP325H9 | definition | open | Wikipedia Proof of impossibility, Wikidata Q17163436 |
| 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 space | WZ6Q03BCD6 | definition | open | Wikipedia Proof of space, Wikidata Q28135735 |
| Proof of stake | CH19VN3ZKM | definition | open | Wikipedia Proof of stake, Wikidata Q17083510 |
| Proof of Stein's example | NG4HR0G9FK | definition | open | Wikipedia List of statistics articles#2CO9 |
| Proof of the Euler product formula for the Riemann zeta function | 59QHDA9F9P | statement | open | Wikipedia Proof of the Euler product formula for the Riemann zeta function, Wikidata Q4117082 |
| 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 Wallis product | 874DC1ZEHB | definition | open | Wikipedia List of topics related to π#VJ0P |
| 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 procedure | 26DT4BY59V | definition | open | Wikipedia Proof procedure, Wikidata Q7250017 |
| 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 sketch for Gödel's first incompleteness theorem | WD2PE0ETWN | statement | open | Wikipedia Proof sketch for Gödel's first incompleteness theorem, Wikidata Q852580 |
| Proof that 0.999... equals 1 | Z3G5FBY10H | definition | open | Wikipedia List of mathematical proofs#EUO6 |
| Proof that 22/7 exceeds | 622Y3CWPRY | definition | open | Wikipedia List of topics related to π#741C |
| Proof that 22/7 exceeds π | 4MFTZDJPNT | definition | open | Wikipedia List of mathematical proofs#K1VS, Wikipedia List of calculus topics#JMKW, Wikipedia List of mathematical examples#JLZL |
| Proof that 22/7 exceeds π | RJYSPY018B | definition | open | Wikipedia Proof that 22/7 exceeds π, Wikidata Q636716 |
| 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 that e is irrational | DVCQCQ8EGE | definition | open | Wikipedia List of mathematical proofs#TM7H, Wikipedia List of exponential topics#KUQA |
| Proof that e is irrational | GR0D0SRZ2D | definition | open | Wikipedia Proof that e is irrational, Wikidata Q852586 |
| Proof that e is transcendental | FE581Y9TGN | statement | open | Wikipedia List of exponential topics#G8UL |
| Proof that is irrational | MBJCC6NXHJ | definition | open | Wikipedia List of topics related to π#SWF5 |
| Proof that pi is irrational | M8GDRFQ3JA | definition | open | Wikipedia Proof that pi is irrational, Wikidata Q3267775 |
| Proof that the sum of the reciprocals of the primes diverges | QGWFSVYW66 | definition | open | Wikipedia List of mathematical proofs#VFMJ |
| Proof that π is irrational | 6ZMWKPZ7K6 | definition | open | Wikipedia List of mathematical proofs#IKH9 |
| proof theory | 75KM352SJ5 | topic | open | Wikidata Q852732, MathWorld ProofTheory, nLab proof theory, ProofWiki Definition:Proof_Theory, Wikipedia Proof theory |
| Proof theory | GZAFMYD389 | definition | open | Wikipedia Glossary of areas of mathematics#PTZR |
| proof theory | WA5X7N21GD | definition | open | Wikipedia Glossary of logic#I9J1 |
| 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 |
| Proof using covers | K3MXAEXK7J | proof | open | napkin tex/topology/compactness.tex#proof-5 |
| Proof using sequences | V32SVMAE6G | proof | open | napkin tex/topology/compactness.tex#proof-7 |
| proof without words | 38RD4477HG | definition | open | Wikidata Q3402800, MathWorld ProofwithoutWords, Wikipedia Proof without words |
| proof, assistant | 1QS9Y2F640 | concept | open | hott_book index/4/proof-assistant |
| proof, assistant | 2A8CHC5ZMN | concept | open | hott_book index/u1.u6/proof-assistant |
| proof, assistant | BWDPQ8V5PY | concept | open | hott_book index/5.13/proof-assistant |
| proof, assistant | CNW9J0G1H7 | concept | open | hott_book index/7/proof-assistant |
| proof, assistant | D7PPGZJA7Z | concept | open | hott_book index/A.12.3/proof-assistant |
| proof, assistant | RT758SX3W2 | concept | open | hott_book index/u1.u1/proof-assistant |
| proof, assistant | WHK03JCR23 | concept | open | hott_book index/2.9/proof-assistant |
| proof, assistant, \NuPRL | EHAP7WJ981 | concept | open | hott_book index/9.11/proof-assistant-nuprl |
| proof, assistant, Agda | N5SYJSXEDY | concept | open | hott_book index/A.12.3/proof-assistant-agda |
| proof, assistant, Coq | 5PKA57C0SK | concept | open | hott_book index/1.15/proof-assistant-coq |
| proof, assistant, Coq | T1YXAW8QS6 | concept | open | hott_book index/A.12.3/proof-assistant-coq |
| proof, assistant, Coq | ZGSX509NFJ | concept | open | hott_book index/9.11/proof-assistant-coq |
| proof, by contradiction | JSMM60QH7B | concept | open | hott_book index/9.4/proof-by-contradiction |
| proof, by contradiction | X6Q597TG9V | concept | open | hott_book index/A.11/proof-by-contradiction |
| proof, combinatorial | 3RCJ2P5BNY | concept | open | applied_combinatorics index/2.4/proof-combinatorial |
| Proof-of-work algorithms | D01VGA2577 | unknown | open | Wikipedia List of algorithms#CKMA |
| Proof-producing $\delta$-decidability | B0R9JMK9SM | 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 2506.08233#X040 |
| proof-theoretic consequence | ZA6VZ6JRCP | definition | open | Wikipedia Glossary of logic#NMLQ |
| Proof-theoretic ordinal | 218TQS2XRQ | definition | open | Wikipedia List of unsolved problems in mathematics#O9DW |
| Proof-theoretic semantics | 4JD9Z96QQ9 | definition | open | Wikipedia Proof-theoretic semantics, Wikidata Q7249983 |
| proof-theoretic semantics | VE4HEJJJFZ | definition | open | Wikipedia Glossary of logic#BLFI |
| Proof-theoretic semantics | XMJ90HAXMR | definition | open | Wikipedia List of mathematical logic topics#8IX4 |
| proof-theoretic validity | K3QH7DW7QC | definition | open | Wikipedia Glossary of logic#IB3M |
| Proof: completed. | VJ1P0A75MS | proof | open | open_logic content/history/set-theory/cantor-plane.tex#proof-2 |
| Proof: first part. | G10S12WTEJ | proof | open | open_logic content/history/set-theory/cantor-plane.tex#proof-1 |
| Proofs and Refutations | NFPGNVQHVC | unknown | open | Wikipedia List of mathematics books#JHRW |
| Proofs from THE BOOK | MBHJEJQYNH | definition | open | Wikipedia Proofs from THE BOOK, Wikidata Q1167387 |
| Proofs involving ordinary least squares | TP1AVSHN6N | definition | open | Wikipedia Proofs involving ordinary least squares, Wikidata Q7250025 |
| Proofs involving the addition of natural numbers | GMD82YN01T | definition | open | Wikipedia Proofs involving the addition of natural numbers, Wikidata Q7250027 |
| Proofs of convergence of random variables | FGKSNG961X | definition | open | Wikipedia Proofs of convergence of random variables, Wikidata Q7250031 |
| Proofs of Fermat's little theorem | PZVMN5ZW9C | statement | open | Wikipedia Proofs of Fermat's little theorem, Wikidata Q467602 |
| Proofs of quadratic reciprocity | WJK9PVZWHZ | definition | open | Wikipedia Proofs of quadratic reciprocity, Wikidata Q7250032 |
| Proofs of trigonometric identities | 51YYBEVN50 | definition | open | Wikipedia Proofs of trigonometric identities, Wikidata Q7250037 |
| Proofs related to chi-squared distribution | XX6Q3YK25E | definition | open | Wikipedia Proofs related to chi-squared distribution, Wikidata Q7250033 |
| Proofs That Really Count | DBC7F3ZSD9 | definition | open | Wikipedia Proofs That Really Count, Wikidata Q96400293 |
| PROP | 3N01J75GT9 | definition | open | Wikipedia PROP (category theory), Wikidata Q7120416 |
| PROP | 4DQVS4CN8D | definition | open | Wikipedia Glossary of category theory#K86T |
| Prop 8.7.1; p. 485; , Section 4.3 | JPA7DYN3Z5 | 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 2610.19791#SCSP |
| Prop. 2.2 and Lem. 4.5 | 88AD3ZX6HY | 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 2609.23768#CBTA |
| Prop. 2.9, Prop 2.23 | 52GGJJQCVT | 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 2609.36181#2YYX |
| Prop. 2.9, Prop 2.23 | RDJ2NHB35W | 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 2609.36181#CIG4 |
| propagation across the logarithmic bridges | XBFG6M7E0G | 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 2609.22413#NDLN |