Theorems · Definition · order theory
Contravariant
(M : Type u_1) → (N : Type u_2) → (M → N → N) → (N → N → Prop) → Prop
Contravariant is useful to formulate succinctly statements about the interactions between an
action of a Type on another one and a relation on the acted-upon Type.
See the ContravariantClass doc-string for its meaning.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by14
Results whose statement or proof uses this declaration.
- ContravariantClass.elimstatement · cited by 12
- rel_iff_cov'statement and proof · cited by 5
- contravariant_le_iff_contravariant_lt_and_eqstatement and proof · cited by 2
- AddGroup.covariant_iff_contravariantstatement and proof · cited by 0
- AddGroup.covariant_swap_iff_contravariant_swapstatement and proof · cited by 0
- covariant_le_iff_contravariant_ltstatement and proof · cited by 0
- Contravariant.flipstatement and proof · cited by 0
- covariant_lt_iff_contravariant_lestatement and proof · cited by 0
- ContravariantClass.casesOnstatement and proof · cited by 0
- ContravariantClass.recOnstatement and proof · cited by 0
- contravariant_flip_iffstatement and proof · cited by 0
- contravariant_lt_of_contravariant_lestatement · cited by 0