Theorems · Theorem
Prod.swap_injective
∀ {α : Type u_1} {β : Type u_2}, Function.Injective Prod.swap- Defined in
- Mathlib.Data.Prod.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.
- Prod.swap_leftInverseproof · cited by 3
Cited by12
Results whose statement or proof uses this declaration.
- comap_swap_uniformityproof · cited by 8
- Finset.HasAntidiagonal.map_swap_antidiagonalstatement · cited by 4
- Finset.Nat.prod_antidiagonal_swapproof · cited by 1
- Rel.card_interedges_commproof · cited by 1
- HopfAlgebra.antipode_comp_mul_comp_commproof · cited by 1
- Finset.map_swap_productstatement and proof · cited by 1
- Finset.Nat.antidiagonal_eq_map'proof · cited by 1
- Prod.swap_bijectiveproof · cited by 1
- Finset.HasAntidiagonal.filter_snd_eq_antidiagonalproof · cited by 1
- Finset.Nat.sum_antidiagonal_swapproof · cited by 0
- Finset.HasMulAntidiagonal.map_swap_mulAntidiagonalstatement · cited by 0
- Nat.reverse_divisorsAntidiagonalListproof · cited by 0