Theorems · Definition · number theory
PosNum.brecOn.go
{motive : PosNum → Sort u} → (t : PosNum) → ((t : PosNum) → PosNum.below t → motive t) → motive t ×' PosNum.below t- Defined in
- Mathlib.Data.Num.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.belowstatement and proof · cited by 10
Cited by11
Results whose statement or proof uses this declaration.
- PosNum.brecOnproof · cited by 16
- PosNum.brecOn.eqstatement · cited by 9
- PosNum.cmp.eq_defproof · cited by 1
- Computability.encodePosNum.eq_defproof · cited by 1
- PosNum.divMod.eq_defproof · cited by 1
- PosNum.succ.eq_defproof · cited by 0
- Turing.PartrecToTM2.trPosNum.eq_defproof · cited by 0
- PosNum.natSize.eq_defproof · cited by 0
- PosNum.size.eq_defproof · cited by 0
- PosNum.testBit.eq_defproof · cited by 0
- PosNum.sub'.eq_defproof · cited by 0