Theorems · Definition
HNot.hnot
{α : Type u_1} → [self : HNot α] → α → αHeyting negation ¬
Conventions for notations in identifiers:
* The recommended spelling of ¬ in identifiers is hnot.
- Defined in
- Mathlib.Order.Notation
- Cited by
- 83 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- HNot
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HNotstatement and proof · cited by 5
Cited by125
Results whose statement or proof uses this declaration.
- Coheyting.boundaryproof · cited by 24
- top_sdiff'statement · cited by 13
- hnot_le_iff_codisjoint_leftstatement · cited by 8
- hnot_le_iff_codisjoint_rightstatement · cited by 7
- codisjoint_hnot_leftstatement · cited by 7
- codisjoint_hnot_rightstatement · cited by 7
- hnot_antistatement and proof · cited by 7
- hnot_inf_distribstatement · cited by 6
- hnot_le_commstatement and proof · cited by 4
- hnot_hnot_lestatement · cited by 4
- hnot_symmDiff_selfstatement and proof · cited by 3
- Coheyting.hnot_boundarystatement and proof · cited by 3