Theorems · Theorem · order theory
LE.le.eq_zero
∀ {α : Type u_1} {a : α} [inst : PartialOrder α] [inst_1 : Zero α] [IsBotZeroClass α], a ≤ 0 → a = 0Alias of eq_zero_of_nonpos.
Alias of the forward direction of nonpos_iff_eq_zero.
- Defined in
- Mathlib.Algebra.Order.IsBotOne
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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- PartialOrderstatement · cited by 6,410
- IsBotZeroClassstatement · cited by 71
- eq_zero_of_nonposproof · cited by 2
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