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Theorems · Definition · order theory

Fin.addNatOrderEmb

{n : ℕ} → (m : ℕ) → Fin n ↪o Fin (n + m)

Fin.addNat as an OrderEmbedding. addNatOrderEmb m i adds m to i, generalizes Fin.succ.

Defined in
Mathlib.Order.Fin.Basic
Cited by
2 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Fin.addNatOrderEmb_apply · cited by 0Fin.addNatOrderEmb_applyFin.addNatOrderEmb_toEmbedding · cited by 0Fin.addNatOrderEmb_toEmbe…OrderEmbedding · cited by 619OrderEmbeddingOrderEmbedding.ofStrictMono · cited by 15OrderEmbedding.ofStrictMo…Fin.strictMono_addNat · cited by 10Fin.strictMono_addNatFin.addNatOrderEmbCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.