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Theorems · Theorem · order theory

WithTop.natCast_ne_top

∀ {α : Type u} [inst : AddMonoidWithOne α] (n : ℕ), ↑n ≠ ⊤
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.WithTop
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
AddMonoidWithOne
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Around this declaration

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

ENNReal.natCast_ne_top · cited by 11ENNReal.natCast_ne_topWithTop.ofNat_ne_top · cited by 0WithTop.ofNat_ne_topTop.top · cited by 9680Top.topWithTop · cited by 3754WithTopAddMonoidWithOne · cited by 313AddMonoidWithOneWithTop.coe_ne_top · cited by 43WithTop.coe_ne_topWithTop.natCast_ne_topCITED BYCITES

Cites4

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.