Theorems · Theorem · logic and foundations
Equiv.prodShear_apply
∀ {α₁ : Type u_9} {α₂ : Type u_10} {β₁ : Type u_11} {β₂ : Type u_12} (e₁ : α₁ ≃ α₂) (e₂ : α₁ → β₁ ≃ β₂),
⇑(e₁.prodShear e₂) = fun x => (e₁ x.1, (e₂ x.1) x.2)- Defined in
- Mathlib.Logic.Equiv.Prod
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, 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.prodShearstatement and proof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- roth_3ap_theoremproof · cited by 1
- comap_addConj_nhds_zeroproof · cited by 1
- comap_conj_nhds_oneproof · cited by 1