Theorems · Theorem · order theory
min_le_left
∀ {α : Type u_1} [inst : LinearOrder α] (a b : α), min a b ≤ a- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 105 results in Mathlib
- Foundations
- Depth 9 from the axioms, rests on 35 definitions · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- min_defproof · cited by 10
Cited by106
Results whose statement or proof uses this declaration.
- min_commproof · cited by 23
- Set.projIicproof · cited by 13
- nhdsGE_basis_of_exists_gtproof · cited by 6
- intervalIntegral.continuousWithinAt_primitiveproof · cited by 6
- min_assocproof · cited by 5
- Metric.closure_subset_cthickeningproof · cited by 4
- min_le_maxproof · cited by 4
- MeasureTheory.IsStoppingTime.measurableSpace_minproof · cited by 4
- LowerSemicontinuousWithinAt.add'proof · cited by 4
- eq_minproof · cited by 3
- UniformSpace.hasBasis_ofFunproof · cited by 3
- HasFPowerSeriesWithinAt.mono_of_mem_nhdsWithinproof · cited by 3