Theorems · Definition · logic and foundations
Function.Embedding.sigmaMk
{α : Type u_1} → {β : α → Type u_3} → (a : α) → β a ↪ (x : α) × β xSigma.mk as a Function.Embedding.
- Defined in
- Mathlib.Logic.Embedding.Basic
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 9 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.
- Function.Embeddingstatement · cited by 988
- sigma_mk_injectiveproof · cited by 27
Cited by28
Results whose statement or proof uses this declaration.
- Finsupp.embSigmaproof · cited by 12
- Finset.sum_sigmaproof · cited by 12
- Finset.prod_sigmaproof · cited by 10
- Finset.sigmaLiftproof · cited by 8
- Module.Relations.directSumproof · cited by 7
- Function.Embedding.sigmaMk_applystatement and proof · cited by 5
- Finset.card_sigmaLiftproof · cited by 4
- Finsupp.embSigma_apply_selfproof · cited by 3
- Finset.mem_sigmaLiftproof · cited by 3
- Finset.pairwiseDisjoint_map_sigmaMkstatement and proof · cited by 3
- Finsupp.embSigma_apply_of_neproof · cited by 2
- Finset.sigma_eq_biUnionstatement · cited by 1