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Theorems · Theorem · number theory

PosNum.cast_succ

∀ {α : Type u_1} [inst : AddMonoidWithOne α] (n : PosNum), ↑n.succ = ↑n + 1
Defined in
Mathlib.Data.Num.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext
Assumes
AddMonoidWithOne
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ZNum.cast_bit1 · cited by 1ZNum.cast_bit1PosNum.minFacAux_to_nat · cited by 1PosNum.minFacAux_to_natAddMonoidWithOne · cited by 313AddMonoidWithOnePosNum · cited by 171PosNumcastPosNum · cited by 74castPosNumPosNum.succ · cited by 14PosNum.succPosNum.add_one · cited by 4PosNum.add_onePosNum.cast_add · cited by 2PosNum.cast_addPosNum.cast_one · cited by 1PosNum.cast_onePosNum.cast_succCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.