lean2/library/algebra/algebra.md

algebra

Algebraic structures.

• prio : priority for algebraic operations

• function

• relation

• binary : binary operations

• order

• lattice

• group

• group_power : nat and int powers

• group_bigops : products and sums over finsets

• group_set_bigops : products and sums over finite sets

• ring

• ordered_group

• ordered_ring

• ring_power : power in ring structures

• field

• ordered_field

• category : category theory

We set a low priority for algebraic operations, so that the elaborator tries concrete structures first.