Theorems · Theorem · order theory
sdiff_idem
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] {a b : α}, (a \ b) \ b = a \ b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 12 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.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- sup_idemproof · cited by 29
Cited by12
Results whose statement or proof uses this declaration.
- StieltjesFunction.length_sdiff_botSetproof · cited by 3
- symmDiff_sdiff_leftproof · cited by 2
- sup_lt_of_lt_sdiff_leftproof · cited by 1
- symmDiff_sdiff_eq_supproof · cited by 1
- SimpleGraph.addCayley_insert_zeroproof · cited by 0
- SimpleGraph.mulCayley_insert_oneproof · cited by 0
- LowerSet.sdiff_idemproof · cited by 0
- Finset.sdiff_idemproof · cited by 0
- UpperSet.sdiff_idemproof · cited by 0
- UpperSet.erase_idemproof · cited by 0
- LowerSet.erase_idemproof · cited by 0
- sup_lt_of_lt_sdiff_rightproof · cited by 0