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Theorems · Theorem · order theory

Fin.strictMono_addNat

∀ {n : ℕ} (m : ℕ), StrictMono fun x => x.addNat m
Defined in
Mathlib.Order.Fin.Basic
Cited by
10 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext
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Around this declaration

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

Fin.image_addNat_uIcc · cited by 3Fin.image_addNat_uIccFin.addNatOrderEmb · cited by 2Fin.addNatOrderEmbFin.preimage_addNat_uIcc_addNat · cited by 1Fin.preimage_addNat_uIcc_…Fin.preimage_addNat_uIoc_addNat · cited by 1Fin.preimage_addNat_uIoc_…Fin.preimage_addNat_uIoo_addNat · cited by 1Fin.preimage_addNat_uIoo_…Fin.image_addNat_uIoc · cited by 1Fin.image_addNat_uIocFin.image_addNat_uIoo · cited by 1Fin.image_addNat_uIooFin.addNatOrderEmb_toEmbedding · cited by 0Fin.addNatOrderEmb_toEmbe…Fin.addNat_inj · cited by 0Fin.addNat_injFin.addNat_le_addNat_iff · cited by 0Fin.addNat_le_addNat_iffFin.addNat_lt_addNat_iff · cited by 0Fin.addNat_lt_addNat_iffStrictMono · cited by 706StrictMonoFin.strictMono_addNatCITED BYCITES

Cites1

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

Cited by11

Results whose statement or proof uses this declaration.