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Theorems · Theorem · order theory

Disjoint.le_sdiff_of_le_left

∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] {a b c : α}, Disjoint a c → a ≤ b → a ≤ b \ c

See le_sdiff for a stronger version in generalised Boolean algebras.

Defined in
Mathlib.Order.Heyting.Basic
Cited by
2 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext
Assumes
GeneralizedCoheytingAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

sdiff_sdiff_sdiff_cancel_right · cited by 1sdiff_sdiff_sdiff_cancel_…sdiff_sdiff_sdiff_cancel_left · cited by 0sdiff_sdiff_sdiff_cancel_…Disjoint · cited by 2201DisjointGeneralizedCoheytingAlgebra · cited by 95GeneralizedCoheytingAlgeb…LE.le.trans_eq' · cited by 21le.trans_eq'Disjoint.sdiff_eq_left · cited by 19Disjoint.sdiff_eq_leftsdiff_le_sdiff_right · cited by 11sdiff_le_sdiff_rightDisjoint.le_sdiff_of_le_leftCITED BYCITES

Cites5

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Cited by2

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