Theorems · Theorem · order theory
Minimal.eq_of_subset
∀ {α : Type u_2} {P : Set α → Prop} {s t : Set α}, Minimal P s → P t → t ⊆ s → t = s- Defined in
- Mathlib.Order.Minimal
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Minimalstatement and proof · cited by 150
- Minimal.eq_of_leproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- exists_idempotent_of_compact_t2_of_continuous_add_leftproof · cited by 2
- exists_idempotent_of_compact_t2_of_continuous_mul_leftproof · cited by 2
- exists_compact_surjective_zorn_subsetproof · cited by 1
- Matroid.isCircuit_antichainproof · cited by 0