Theorems · Inductive type · combinatorics
SemistandardYoungTableau
YoungDiagram → Type
A semistandard Young tableau is a filling of the cells of a Young diagram by natural
numbers, such that the entries in each row are weakly increasing (left to right), and the entries
in each column are strictly increasing (top to bottom).
Here, a semistandard Young tableau is represented as an unrestricted function ℕ → ℕ → ℕ that, for
reasons of extensionality, is required to vanish outside μ.
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- YoungDiagramstatement · cited by 72
Cited by26
Results whose statement or proof uses this declaration.
- SemistandardYoungTableau.entrystatement and proof · cited by 4
- SemistandardYoungTableau.copystatement and proof · cited by 2
- SemistandardYoungTableau.col_strictstatement and proof · cited by 1
- SemistandardYoungTableau.col_strict'statement and proof · cited by 1
- SemistandardYoungTableau.extstatement and proof · cited by 1
- SemistandardYoungTableau.highestWeightstatement · cited by 1
- SemistandardYoungTableau.row_weakstatement and proof · cited by 1
- SemistandardYoungTableau.row_weak'statement and proof · cited by 1
- SemistandardYoungTableau.zeros'statement and proof · cited by 1
- SemistandardYoungTableau.mk.injstatement · cited by 1
- SemistandardYoungTableau.mk.noConfusionstatement · cited by 1
- SemistandardYoungTableau.casesOnstatement and proof · cited by 0