Agent Skills by bneb
Showing 30 vetted skills indexed across 1 GitHub repositories.
bnebmaximality_zorns_lemma
Apply Zorn's Lemma to deduce maximal elements in Lean 4 proofs.
bnebdouble_counting
Prove combinatorial identities by counting incidences in finite bipartite relations.
bnebspectral_graph_bounds
Bound Ramsey-type graph parameters using spectral eigenvalue bounds.
bnebgit-commit
Write git commit messages to a file and commit with git -F.
bnebschur-partition-search
Run simulated-annealing searches for Schur partition problems from algebraic seeds.
bnebbijections_and_isomorphisms
Construct bijections or isomorphisms between algebraic and combinatorial structures in Lean 4.
bnebalgebraic_graph_construction
Construct Cayley and Paley graphs from finite group generators and quadratic residues.
bnebduality_arguments
NLP-based grammar and style correction for your writing, available as a VS Code extension and/or standalone Python library.
bnebpolynomial_time_reductions
Formulate polynomial-time reductions with Lean 4 correctness proof templates.
bnebepsilon_delta_bounding
Construct explicit δ(ε) or N witnesses for Lean 4 / mathlib4 limit proofs.
bnebpigeonhole_principle
Prove guaranteed collisions when distributing more items than containers.
bnebproof_by_contraposition
Convert implications to their contrapositive in Lean 4 proofs.
bnebforcing_set_theory_independence
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bnebdirect_proof
Construct direct proofs in Lean 4 by applying definitions and inference rules.
bnebexplicit_construction
Prove existence statements with concrete witnesses in Lean 4.
bnebrazborov_flag_algebras
Compute lower bounds on subgraph densities using Razborov's flag algebra method.
bnebproof_by_contradiction
Derive proofs by contradiction in Lean 4 using by_contra and absurd.
bnebfixed_point_arguments
Determine fixed-point existence using Banach, Brouwer, or Tarski theorems.
bnebcantors_diagonalization
Construct diagonal elements to prove non-enumerability in Lean 4.
bnebprobabilistic_method
Prove combinatorial object existence via probability spaces and the Lovász Local Lemma.
bnebgeometric_flow_homotopy
Generate structural V3 and/or V4 of a document from plain text input.
bnebinvariants_and_monovariants
Identify invariant and monovariant properties for reachability and termination proofs.
bnebproof_by_exhaustion
Partition finite domains into cases and verify each with Lean 4 tactics.
bnebhomological_cohomological_arguments
Compute homology and cohomology invariants using Lean 4 templates and mathlib4.