Theorems · Theorem · order theory
min_comm
∀ {α : Type u_1} [inst : LinearOrder α] (a b : α), min a b = min b a- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 23 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.
Cites5
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_le_leftproof · cited by 105
- min_le_rightproof · cited by 88
- le_minproof · cited by 21
- eq_minproof · cited by 3
Cited by23
Results whose statement or proof uses this declaration.
- min_eq_rightproof · cited by 54
- Set.uIoc_commproof · cited by 6
- IntervalIntegrable.comp_add_rightproof · cited by 6
- Ideal.irreducible_pow_supproof · cited by 5
- ProbabilityTheory.IsGaussianProcess.isPreBrownianReal_of_covarianceproof · cited by 4
- Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countableproof · cited by 3
- min_left_commproof · cited by 2
- NNReal.min_le_agmproof · cited by 2
- MeasureTheory.integral2_divergence_prod_of_hasFDerivAt_off_countableproof · cited by 2
- MeasureTheory.IsStoppingTime.measurableSet_eq_stopping_time_minproof · cited by 1
- LipschitzWith.const_minproof · cited by 1