Theorems · Theorem · logic and foundations
Pairwise.eq
∀ {α : Type u_1} {r : α → α → Prop} {a b : α}, Pairwise r → ¬r a b → a = b- Defined in
- Mathlib.Logic.Pairwise
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Pairwisestatement and proof · cited by 516
- not_imp_commproof · cited by 56
Cited by5
Results whose statement or proof uses this declaration.
- ContinuousMap.exists_finite_approximation_of_mem_nhds_diagonalproof · cited by 2
- Set.finite_iUnion_iffproof · cited by 2
- exists_seq_infinite_isOpen_pairwise_disjointproof · cited by 1
- Pairwise.countable_of_isOpen_disjointproof · cited by 1
- exists_topology_isEmbedding_natproof · cited by 1