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Theorems · Theorem · number theory

PosNum.cast_add

∀ {α : Type u_1} [inst : AddMonoidWithOne α] (m n : PosNum), ↑(m + n) = ↑m + ↑n
Defined in
Mathlib.Data.Num.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 23 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_add · cited by 3ZNum.cast_addPosNum.cast_succ · cited by 2PosNum.cast_succNat.cast_add · cited by 586Nat.cast_addAddMonoidWithOne · cited by 313AddMonoidWithOnePosNum · cited by 171PosNumcastPosNum · cited by 74castPosNumPosNum.cast_to_nat · cited by 15PosNum.cast_to_natPosNum.add_to_nat · cited by 2PosNum.add_to_natPosNum.cast_addCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.