===== Antisymmetric multilinear functional =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $X$...$\mathcal F$-vector space |
| @#55CCEE: context     | @#55CCEE: $n\in \mathbb N$ |

| @#FFBB00: definiendum | @#FFBB00: $M\in \mathrm{SymMultiLin}(X^n)$ |

| @#55CCEE: context     | @#55CCEE: $M\in \mathrm{MultiLin}(X^n)$ |

| $ v_1,\dots,v_n\in X $ |
| $ 1\le i<j\le n $ |

| @#55EE55: postulate   | @#55EE55: $ M(v_1,\dots,v_i,\dots,v_j,\dots,v_n)=-M(v_1,\dots,v_j,\dots,v_i,\dots,v_n) $ |

==== Discussion ====
==== Parents ====
=== Subset of ===
[[Multilinear functional]]