Theorems · Theorem · number theory
NumberField.InfinitePlace.Completion.Rat.norm_infinitePlace_completion
∀ (v : NumberField.InfinitePlace ℚ) (x : ℚ), ‖↑x‖ = ↑|x|
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- Foundations
- Depth 185 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- absstatement and proof · cited by 1,814
- NumberField.InfinitePlacestatement and proof · cited by 604
- RingEquiv.symmproof · cited by 567
- NumberField.InfinitePlace.Completionstatement and proof · cited by 69
- RingEquiv.apply_symm_applyproof · cited by 53
- WithAbs.equivproof · cited by 15
- Rat.infinitePlace_applyproof · cited by 2
- NumberField.InfinitePlace.Completion.WithAbs.ratCast_equivproof · cited by 1
- NumberField.InfinitePlace.Completion.norm_coeproof · cited by 1
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