Theorems · Theorem · combinatorics
Matroid.mapEmbedding_isLoop_iff
∀ {α : Type u_1} {β : Type u_2} {M : Matroid α} {e : α} {f : α ↪ β}, (M.mapEmbedding f).IsLoop (f e) ↔ M.IsLoop e- Defined in
- Mathlib.Combinatorics.Matroid.Loop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Matroidstatement and proof · cited by 1,258
- Function.Embeddingstatement and proof · cited by 988
- Matroid.closureproof · cited by 272
- Matroid.IsLoopstatement · cited by 55
- Matroid.mapEmbeddingstatement · cited by 8
- Matroid.map_closure_eqproof · cited by 2
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