Theorems · Theorem · order theory
max_eq_left
∀ {α : Type u_1} [inst : LinearOrder α] {a b : α}, b ≤ a → max a b = a- Defined in
- Mathlib.Order.Defs.LinearOrder
- Cited by
- 96 results in Mathlib
- Foundations
- Depth 14 from the axioms, rests on 46 definitions · uses propext
- Assumes
- LinearOrder
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.
- LinearOrderstatement and proof · cited by 8,572
- le_rflproof · cited by 1,558
- eq_maxproof · cited by 4
Cited by96
Results whose statement or proof uses this declaration.
- ENNReal.toReal_ofRealproof · cited by 82
- max_eq_rightproof · cited by 79
- max_ltproof · cited by 42
- Real.toNNReal_coeproof · cited by 36
- Real.coe_toNNRealproof · cited by 27
- NNReal.coe_subproof · cited by 19
- max_eq_left_of_ltproof · cited by 11
- intervalIntegral.integral_eq_sub_of_hasDeriv_rightproof · cited by 8
- Cardinal.mul_eq_leftproof · cited by 8
- Cardinal.mul_eq_max_of_aleph0_le_leftproof · cited by 8
- LinearMap.mkContinuous₂_norm_leproof · cited by 8
- Cardinal.mul_aleph0_eqproof · cited by 6