Theorems · Theorem · order theory
hnot_anti
∀ {α : Type u_2} [inst : CoheytingAlgebra α], Antitone hnot- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
- Assumes
- CoheytingAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Antitonestatement · cited by 563
- LE.le.trans'proof · cited by 140
- CoheytingAlgebrastatement and proof · cited by 96
- HNot.hnotstatement and proof · cited by 83
- hnot_le_commproof · cited by 4
- hnot_hnot_leproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- hnot_hnot_hnotproof · cited by 3
- Coheyting.boundary_le_boundary_sup_sup_boundary_inf_leftproof · cited by 2
- Coheyting.boundary_sup_leproof · cited by 2
- le_hnot_inf_hnotproof · cited by 1
- hnot_hnot_sup_distribproof · cited by 1
- hnot_le_hnotproof · cited by 0
- hnot_hnot_sdiff_distribproof · cited by 0