Theorems · Theorem · group theory
Equiv.faithfulVAdd
∀ (M : Type u_1) {α : Type u_4} {β : Type u_5} [inst : VAdd M β] (e : α ≃ β) [FaithfulVAdd M β], FaithfulVAdd M αTransfer FaithfulVAdd across an Equiv
See FaithfulVAdd.of_injective for the general statement not about transferring.
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- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- VAddFaithfulVAdd
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement and proof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- HVAdd.hVAddproof · cited by 1,820
- VAddstatement and proof · cited by 616
- Equiv.forall_congr_rightproof · cited by 28
- EmbeddingLike.apply_eq_iff_eqproof · cited by 20
- FaithfulVAddstatement and proof · cited by 17
- FaithfulVAdd.eq_of_vadd_eq_vaddproof · cited by 5
- Equiv.vaddstatement · cited by 5
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