Theorems · Theorem · combinatorics

Matroid.map_isBase_iff

∀ {α : Type u_1} {β : Type u_2} (M : Matroid α) (f : α → β) (hf : Set.InjOn f M.E) {B : Set β},
  (M.map f hf).IsBase B ↔ ∃ B₀, M.IsBase B₀ ∧ B = f '' B₀

Defined in

Mathlib.Combinatorics.Matroid.Map

Cited by

5 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound