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Theorems · Theorem · commutative algebra

WittVector.ext

∀ {p : ℕ} {R : Type u_1} {x y : WittVector p R}, (∀ (n : ℕ), x.coeff n = y.coeff n) → x = y
Defined in
Mathlib.RingTheory.WittVector.Defs
Cited by
29 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext, Quot.sound
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Around this declaration

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

WittVector.ext_iff · cited by 9WittVector.ext_iffWittVector.out_truncateFun · cited by 7WittVector.out_truncateFunWittVector.verschiebung_frobenius · cited by 4WittVector.verschiebung_f…WittVector.IsPoly.ext · cited by 2IsPoly.extWittVector.verschiebung_nonzero · cited by 2WittVector.verschiebung_n…WittVector.mapFun.add · cited by 1mapFun.addWittVector.mapFun.injective · cited by 1mapFun.injectiveWittVector.frobenius_frobeniusRotation · cited by 1WittVector.frobenius_frob…WittVector.mapFun.neg · cited by 1mapFun.negWittVector.mapFun.one · cited by 1mapFun.oneWittVector.mapFun.surjective · cited by 1mapFun.surjectiveWittVector.mapFun.zero · cited by 1mapFun.zeroWittVector.coeff_add_of_disjoint · cited by 1WittVector.coeff_add_of_d…WittVector.verschiebung_injective · cited by 1WittVector.verschiebung_i…WittVector.IsPoly₂.ext · cited by 1IsPoly₂.extWittVector · cited by 227WittVectorWittVector.coeff · cited by 138WittVector.coeffWittVector.casesOn · cited by 2WittVector.casesOnWittVector.mk'.injEq · cited by 1mk'.injEqWittVector.extCITED BYCITES

Cites4

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Cited by29

Results whose statement or proof uses this declaration.