Theorems · Theorem · combinatorics

Matroid.comap_isBase_iff

∀ {α : Type u_1} {β : Type u_2} {f : α → β} {N : Matroid β} {B : Set α},
  (N.comap f).IsBase B ↔ N.IsBasis (f '' B) (f '' f ⁻¹' N.E) ∧ Set.InjOn f B ∧ B ⊆ f ⁻¹' N.E

Defined in

Mathlib.Combinatorics.Matroid.Map

Cited by

1 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound