Theorems · Definition · order theory
bihimp
{α : Type u_2} → [Min α] → [HImp α] → α → α → αThe Heyting bi-implication is (b ⇨ a) ⊓ (a ⇨ b). This generalizes equivalence of
propositions.
- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 81 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
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.
Cited by81
Results whose statement or proof uses this declaration.
- bihimp_commstatement · cited by 8
- bihimp_assocstatement · cited by 3
- bihimp_topstatement · cited by 3
- inf_le_bihimpstatement · cited by 3
- compl_bihimp_selfstatement · cited by 2
- bihimp_bihimp_cancel_leftstatement and proof · cited by 2
- bihimp_eqstatement · cited by 2
- bihimp_eq'statement · cited by 2
- bihimp_inf_supstatement and proof · cited by 2
- bihimp_selfstatement · cited by 2
- compl_symmDiffstatement and proof · cited by 2
- top_bihimpstatement · cited by 1