Theorems · Theorem · order theory
sdiff_bot
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] {a : α}, a \ ⊥ = a- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 13 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.
- Bot.botstatement · cited by 4,720
- eq_of_forall_ge_iffproof · cited by 96
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- sup_bot_eqproof · cited by 31
- sdiff_le_iff'proof · cited by 20
Cited by13
Results whose statement or proof uses this declaration.
- Set.sdiff_emptyproof · cited by 25
- Disjoint.sdiff_eq_leftproof · cited by 19
- partialSups_disjointedproof · cited by 5
- symmDiff_botproof · cited by 4
- Disjoint.le_symmDiff_sup_symmDiff_leftproof · cited by 3
- Finset.sdiff_emptyproof · cited by 3
- UV.compress_idemproof · cited by 3
- disjointedRecproof · cited by 3
- BooleanSubalgebra.mem_closure_iff_sup_sdiffproof · cited by 1
- UV.mem_of_mem_compressionproof · cited by 1
- disjointed_of_isMinproof · cited by 1
- UV.sup_sdiff_mem_of_mem_compressionproof · cited by 1