Theorems · Theorem · number theory
Num.cast_le
∀ {α : Type u_1} [inst : Semiring α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] {m n : Num}, ↑m ≤ ↑n ↔ m ≤ n- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- LinearOrderstatement and proof · cited by 8,572
- IsStrictOrderedRingstatement and proof · cited by 2,490
- not_ltproof · cited by 306
- Numstatement and proof · cited by 117
- castNumstatement · cited by 72
- Num.cast_ltproof · cited by 1
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