Involution fixes the diagonal
NOT A NOVELTY CLAIM. This is a machine-checked formalisation, checked by the Lean 4 kernel and depending on no axiom. It is dated and citable. Prior art, where it exists, is cited below. No discovery is claimed.
The involution and its fixed diagonal, together.
Proposition
σ (σ (1,3)) = (1,3) ∧ σ (2,2) = (2,2)Proof
By decide in hodge.lean. Checked by the Lean kernel: it depends on no axiom.
Sources and identifiers
- Lean source · src/pair/formal/proofs/hodge.lean
- Typeset paper · src/research/lean-theorems.tex
- Repository deposit · doi:10.5281/zenodo.21787144
- Author · ORCID 0009-0000-7312-9778
- Deposit record ·
hodge--involution_fixes_the_diagonal