Theorems · Theorem · order theory
min_assoc
∀ {α : Type u_1} [inst : LinearOrder α] (a b c : α), min (min a b) c = min a (min b c)- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- le_transproof · cited by 985
- min_le_leftproof · cited by 105
- min_le_rightproof · cited by 88
- le_minproof · cited by 21
- eq_minproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- List.minimum_consproof · cited by 7
- MeasureTheory.stoppedProcess_stoppedProcessproof · cited by 6
- min_left_commproof · cited by 2
- min_right_commproof · cited by 0
- List.minimum_appendproof · cited by 0