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Theorems · Theorem · number theory

Nat.nth_of_forall

∀ {p : ℕ → Prop} {n : ℕ}, (∀ n' ≤ n, p n') → Nat.nth p n = n
Defined in
Mathlib.Data.Nat.Nth
Cited by
1 results in Mathlib
Foundations
Depth 95 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_true · cited by 0Nat.nth_trueLT.lt.le · cited by 2189lt.lele_rfl · cited by 1558le_rflNat.nth · cited by 84Nat.nthNat.nth_count · cited by 7Nat.nth_countNat.count_of_forall · cited by 2Nat.count_of_forallNat.nth_of_forallCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.