Theorems · Definition · number theory
PosNum.brecOn
{motive : PosNum → Sort u} → (t : PosNum) → ((t : PosNum) → PosNum.below t → motive t) → motive t- Defined in
- Mathlib.Data.Num.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PosNumstatement and proof · cited by 171
- PosNum.brecOn.goproof · cited by 10
- PosNum.belowstatement and proof · cited by 10
Cited by36
Results whose statement or proof uses this declaration.
- castPosNumproof · cited by 74
- PosNum.pred'proof · cited by 18
- PosNum.cast_to_natproof · cited by 15
- PosNum.succproof · cited by 14
- PosNum.cmpproof · cited by 9
- PosNum.brecOn.eqstatement and proof · cited by 9
- PosNum.sub'proof · cited by 6
- PosNum.pred'_to_natproof · cited by 5
- PosNum.to_nat_posproof · cited by 4
- PosNum.bit0_of_bit0proof · cited by 4
- Computability.encodePosNumproof · cited by 4
- PosNum.cmp_to_natproof · cited by 4