Theorems · Theorem · linear algebra
Set.finrank_mono
∀ {K : Type u} {V : Type v} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
[FiniteDimensional K V] {s t : Set V}, s ⊆ t → Set.finrank K s ≤ Set.finrank K t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- FiniteDimensionalstatement and proof · cited by 1,854
- DivisionRingstatement and proof · cited by 1,062
- Submodule.span_monoproof · cited by 85
- Submodule.finrank_monoproof · cited by 11
- Set.finrankstatement · cited by 9
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