Theorems · Theorem · order theory
Set.Finite.toFinset_mono
∀ {α : Type u} {s t : Set α} {hs : s.Finite} {ht : t.Finite}, s ⊆ t → hs.toFinset ⊆ ht.toFinsetAlias of the reverse direction of Set.Finite.toFinset_subset_toFinset.
- Defined in
- Mathlib.Data.Set.Finite.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Finsetstatement · cited by 13,712
- Set.Finitestatement and proof · cited by 1,814
- Set.Finite.toFinsetstatement · cited by 351
- Set.Finite.toFinset_subset_toFinsetproof · cited by 2
Cited by10
Results whose statement or proof uses this declaration.
- MvPowerSeries.rename_eq_substproof · cited by 2
- Finset.vaddAntidiagonal_mono_leftproof · cited by 1
- Finset.vaddAntidiagonal_mono_rightproof · cited by 1
- Finset.antidiagonal_mono_leftproof · cited by 1
- Finset.antidiagonal_mono_rightproof · cited by 1
- Finset.smulAntidiagonal_mono_leftproof · cited by 0
- Finset.smulAntidiagonal_mono_rightproof · cited by 0
- ProbabilityTheory.pred_true_of_uniformOn_eq_oneproof · cited by 0
- Finset.mulAntidiagonal_mono_leftproof · cited by 0
- Finset.mulAntidiagonal_mono_rightproof · cited by 0