Theorems · Definition · logic and foundations
Function.Embedding.prodMap
{α : Type u_1} → {β : Type u_2} → {γ : Type u_3} → {δ : Type u_4} → (α ↪ β) → (γ ↪ δ) → α × γ ↪ β × δIf e₁ and e₂ are embeddings, then so is Prod.map e₁ e₂ : (a, b) ↦ (e₁ a, e₂ b).
- Defined in
- Mathlib.Logic.Embedding.Basic
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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.
- DFunLike.coeproof · cited by 62,936
- Function.Embeddingstatement and proof · cited by 988
Cited by24
Results whose statement or proof uses this declaration.
- PowerSeries.coeff_mulproof · cited by 29
- Int.divisorsAntidiagproof · cited by 17
- Finset.Nat.prod_antidiagonal_succproof · cited by 2
- Finsupp.antidiagonal_singlestatement · cited by 2
- Finset.Nat.antidiagonal_filter_le_fst_of_lestatement · cited by 2
- Finset.Nat.antidiagonal_succstatement and proof · cited by 2
- Finset.Nat.antidiagonal_succ'statement and proof · cited by 2
- YoungDiagram.mem_cellsOfRowLensproof · cited by 1
- Finset.Nat.antidiagonal_filter_snd_le_of_lestatement · cited by 1
- Finset.Nat.antidiagonal_succ_succ'statement and proof · cited by 1
- HahnSeries.embDomain_mulproof · cited by 0
- Int.mem_divisorsAntidiagproof · cited by 0