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Theorems · Theorem · order theory

WithTop.coe_pos

∀ {α : Type u} [inst : Zero α] [inst_1 : LT α] {a : α}, 0 < ↑a ↔ 0 < a
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.WithTop
Cited by
2 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
Assumes
ZeroLT
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Around this declaration

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

HahnSeries.SummableFamily.binomialFamily_mem_support · cited by 1SummableFamily.binomialFa…Polynomial.coeff_natTrailingDegree_pred_eq_zero · cited by 0Polynomial.coeff_natTrail…WithTop · cited by 3754WithTopWithTop.some · cited by 1128WithTop.someWithTop.coe_lt_coe · cited by 47WithTop.coe_lt_coeWithTop.coe_posCITED 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.