Theorems · Theorem · number theory
PosNum.lt_to_nat
∀ {m n : PosNum}, ↑m < ↑n ↔ m < n- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PosNumstatement and proof · cited by 171
- castPosNumstatement and proof · cited by 74
- not_lt_of_gtproof · cited by 19
- PosNum.cmpproof · cited by 9
- PosNum.cmp_to_natproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- PosNum.cast_ltproof · cited by 2
- PosNum.le_to_natproof · cited by 0