Theorems · Theorem · logic and foundations
Equiv.prodCongr_apply
∀ {α₁ : Type u_9} {α₂ : Type u_10} {β₁ : Type u_11} {β₂ : Type u_12} (e₁ : α₁ ≃ α₂) (e₂ : β₁ ≃ β₂),
⇑(e₁.prodCongr e₂) = Prod.map ⇑e₁ ⇑e₂- Defined in
- Mathlib.Logic.Equiv.Prod
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, 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 and proof · cited by 8,337
- Equiv.prodCongrstatement and proof · cited by 24
Cited by13
Results whose statement or proof uses this declaration.
- groupHomology.comp_d₃₂_eqproof · cited by 6
- Equiv.Perm.decomposeFin_symm_apply_succproof · cited by 3
- Equiv.Perm.decomposeFin_symm_apply_zeroproof · cited by 2
- groupHomology.chainsMap_f_3_comp_chainsIso₃proof · cited by 2
- Equiv.Perm.decomposeFin_symm_of_reflproof · cited by 2
- Equiv.Perm.decomposeFin.symm_signproof · cited by 2
- WithLp.volume_preserving_symm_measurableEquiv_toLp_prodproof · cited by 2
- Equiv.isUniformEmbeddingproof · cited by 2
- Finset.card_sub_eqproof · cited by 0
- Finset.card_div_eqproof · cited by 0
- InverseSystem.isNatEquiv_piEquivSuccproof · cited by 0
- Module.Basis.matrix_applyproof · cited by 0