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Theorems · Theorem · combinatorics

Matroid.IsNonloop.of_contract

∀ {α : Type u_1} {M : Matroid α} {e : α} {C : Set α}, (M.contract C).IsNonloop e → M.IsNonloop e
Defined in
Mathlib.Combinatorics.Matroid.Minor.Contract
Cited by
1 results in Mathlib
Foundations
Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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Matroid.IsNonloop.of_isMinor · cited by 0IsNonloop.of_isMinorSet · cited by 53352SetMatroid · cited by 1258MatroidMatroid.contract · cited by 103Matroid.contractMatroid.IsNonloop · cited by 65Matroid.IsNonloopMatroid.indep_singleton · cited by 12Matroid.indep_singletonMatroid.Indep.of_contract · cited by 2Indep.of_contractIsNonloop.of_contractCITED BYCITES

Cites6

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Cited by1

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