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[Merged by Bors] - chore(group_theory/group_action/group): add smul_inv#7568
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eric-wieser wants to merge 2 commits intomasterfrom
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[Merged by Bors] - chore(group_theory/group_action/group): add smul_inv#7568eric-wieser wants to merge 2 commits intomasterfrom
smul_inv#7568eric-wieser wants to merge 2 commits intomasterfrom
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This renames the existing `smul_inv` to `smul_inv'`, which is consistent with the name of the other lemma about `mul_semiring_action`, `smul_mul'`.
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eric-wieser
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May 10, 2021
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| lemma smul_inv [group β] [smul_comm_class α β β] [is_scalar_tower α β β] (c : α) (x : β) : | ||
| (c • x)⁻¹ = c⁻¹ • x⁻¹ := | ||
| by rw [inv_eq_iff_mul_eq_one, smul_mul_smul, mul_right_inv, mul_right_inv, one_smul] |
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This name was chosen to be consistent with mul_inv : (c * x)⁻¹ = c⁻¹ * x⁻¹
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LGTM. A bunch of bors merge |
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Pull request successfully merged into master. Build succeeded: |
smul_invsmul_inv
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This renames the existing
smul_invtosmul_inv', which is consistent with the name of the other lemma aboutmul_semiring_action,smul_mul'.