Theorems · Theorem · order theory
sdiff_le_sdiff_left
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] {a b c : α}, b ≤ a → c \ a ≤ c \ b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- GeneralizedCoheytingAlgebra
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.
- LE.le.trans'proof · cited by 140
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- sup_le_sup_leftproof · cited by 20
- sdiff_le_iff'proof · cited by 20
- le_sdiff_supproof · cited by 7
Cited by6
Results whose statement or proof uses this declaration.
- sdiff_le_sdiffproof · cited by 16
- sdiff_sup_sdiff_cancelproof · cited by 3
- sdiff_le_sdiff_iff_leproof · cited by 2
- sdiff_sdiff_sdiff_cancel_rightproof · cited by 1
- sdiff_sup_sdiff_cancel'proof · cited by 1
- SimpleGraph.deleteEdges_antiproof · cited by 0