Mathlib Map

Theorems · Theorem

List.getD_eq_getElem

∀ {α : Type u} (l : List α) (d : α) {n : ℕ} (hn : n < l.length), l.getD n d = l[n]
Defined in
Mathlib.Data.List.GetD
Cited by
10 results in Mathlib
Foundations
Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Nat.nth_eq_orderEmbOfFin · cited by 2Nat.nth_eq_orderEmbOfFinCoxeterSystem.getElem_leftInvSeq · cited by 2CoxeterSystem.getElem_lef…List.getI_eq_getElem · cited by 2List.getI_eq_getElemCoxeterSystem.IsReduced.nodup_rightInvSeq · cited by 1IsReduced.nodup_rightInvS…CoxeterSystem.getElem_rightInvSeq · cited by 0CoxeterSystem.getElem_rig…List.getD_eq_get · cited by 0List.getD_eq_getCoxeterSystem.isLeftInversion_of_mem_leftInvSeq · cited by 0CoxeterSystem.isLeftInver…List.toFinsupp_apply_fin · cited by 0List.toFinsupp_apply_finList.toFinsupp_apply_lt · cited by 0List.toFinsupp_apply_ltCoxeterSystem.isRightInversion_of_mem_rightInvSeq · cited by 0CoxeterSystem.isRightInve…List.getD_eq_getElemCITED BYCITES

Cites0

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

Nothing in Mathlib beyond the foundations.

Cited by10

Results whose statement or proof uses this declaration.