Theorems · Theorem
Equiv.sigmaEquivProd_apply
∀ (α : Type u_1) (β : Type u_2) (a : (_ : α) × β), (Equiv.sigmaEquivProd α β) a = (a.fst, a.snd)
- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Equiv.sigmaEquivProdstatement and proof · cited by 47
Cited by11
Results whose statement or proof uses this declaration.
- Primrec₂.natPairproof · cited by 4
- Nat.Partrec.Code.primrec_evalnproof · cited by 3
- Primrec₂.ofNat_iffproof · cited by 3
- MultilinearMap.freeDFinsuppEquiv_singleproof · cited by 2
- MeasureTheory.Measure.infinitePi_map_curry_symmproof · cited by 1
- Nat.Partrec.Code.fixed_pointproof · cited by 1
- Nat.Partrec.Code.fixed_point₂proof · cited by 1
- Denumerable.prod_ofNat_valproof · cited by 1
- Equiv.sigmaCongrRight_sigmaEquivProdproof · cited by 0
- Matroid.sum'_ground_eqproof · cited by 0
- Denumerable.prod_nat_ofNatproof · cited by 0