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Theorems · Theorem · order theory

covariantClass_le_of_lt

∀ (M : Type u_1) (N : Type u_2) (μ : M → N → N) [inst : PartialOrder N] [CovariantClass M N μ fun x1 x2 => x1 < x2],
  CovariantClass M N μ fun x1 x2 => x1 ≤ x2
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Defs
Cited by
4 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderCovariantClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

addLeftMono_of_addLeftStrictMono · cited by 10addLeftMono_of_addLeftStr…addRightMono_of_addRightStrictMono · cited by 9addRightMono_of_addRightS…mulLeftMono_of_mulLeftStrictMono · cited by 8mulLeftMono_of_mulLeftStr…mulRightMono_of_mulRightStrictMono · cited by 8mulRightMono_of_mulRightS…PartialOrder · cited by 6410PartialOrderCovariantClass · cited by 25CovariantClassCovariantClass.elim · cited by 22CovariantClass.elimcovariant_le_of_covariant_lt · cited by 1covariant_le_of_covariant…covariantClass_le_of_ltCITED BYCITES

Cites4

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Cited by4

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