Theorems · Theorem · combinatorics
YoungDiagram.exists_notMem_col
∀ (μ : YoungDiagram) (j : ℕ), ∃ i, (i, j) ∉ μ.cells
- Defined in
- Mathlib.Combinatorics.Young.YoungDiagram
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- YoungDiagramstatement and proof · cited by 72
- YoungDiagram.cellsstatement and proof · cited by 16
- YoungDiagram.transposeproof · cited by 13
- YoungDiagram.exists_notMem_rowproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- YoungDiagram.colLenproof · cited by 10
- YoungDiagram.rowLen_transposeproof · cited by 2
- YoungDiagram.rowLens_length_ofRowLensproof · cited by 1
- YoungDiagram.colLen_transposeproof · cited by 0