Theorems · Theorem · combinatorics
Matroid.comap_loops
∀ {α : Type u_1} {β : Type u_2} {M : Matroid β} {f : α → β}, (M.comap f).loops = f ⁻¹' M.loops- Defined in
- Mathlib.Combinatorics.Matroid.Loop
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.preimagestatement and proof · cited by 4,946
- Matroidstatement and proof · cited by 1,258
- Matroid.closureproof · cited by 272
- Set.image_emptyproof · cited by 73
- Matroid.loopsstatement and proof · cited by 52
- Matroid.comapstatement and proof · cited by 24
- Matroid.comap_closure_eqproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.comap_isLoop_iffproof · cited by 0