Theorems · Definition
HImp.himp
{α : Type u_1} → [self : HImp α] → α → α → αHeyting implication ⇨
Conventions for notations in identifiers:
* The recommended spelling of ⇨ in identifiers is himp.
- Defined in
- Mathlib.Order.Notation
- Cited by
- 153 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- HImp
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.
- HImpstatement and proof · cited by 7
Cited by223
Results whose statement or proof uses this declaration.
- bihimpproof · cited by 81
- le_himp_iffstatement · cited by 19
- himp_eqstatement · cited by 11
- himp_botstatement · cited by 9
- bihimp_commproof · cited by 8
- himp_inf_lestatement · cited by 6
- himp_selfstatement · cited by 6
- himp_eq_top_iffstatement · cited by 5
- compl_sup_distribproof · cited by 5
- le_himpstatement · cited by 5
- himp_le_himp_leftstatement · cited by 4
- Codisjoint.himp_eq_rightstatement and proof · cited by 4
Showing the 200 most cited of 223.