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Theorems · Theorem · linear algebra

Module.Basis.flag_mono

∀ {R : Type u_1} {M : Type u_2} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {n : ℕ}
  (b : Module.Basis (Fin n) R M), Monotone b.flag
Defined in
Mathlib.LinearAlgebra.Basis.Flag
Cited by
1 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringAddCommMonoidModule
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Module.Basis.isChain_range_flag · cited by 0Basis.isChain_range_flagModule · cited by 20661ModuleSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidSubmodule · cited by 7192SubmoduleModule.Basis · cited by 1477Module.BasisMonotone · cited by 1397Monotonele_sup_right · cited by 242le_sup_rightModule.Basis.flag · cited by 17Basis.flagFin.monotone_iff_le_succ · cited by 5Fin.monotone_iff_le_succModule.Basis.flag_succ · cited by 3Basis.flag_succBasis.flag_monoCITED BYCITES

Cites10

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Cited by1

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